Posts Tagged ‘intuyu consulting’

Welcome back to the start of the school year and we are hoping you are feeling refreshed and fired up ready to go!

A little over two years ago I sat down with two primary school teachers to have a conversation with them to discover what had them be so successful with developing their students to learn. It was one of those conversations that connected certain ‘dots’ for me about what I had been reading about the findings of neuroscience and setting up powerful learning environments.

Habits are the key

One of the critical keys to their success that made such a difference to setting up a powerful learning environment for their students was that the two teachers, both of them relatively recent graduates, were the habitual practices they had unconsciously embedded at the start of the year. Over the previous 2-3 years that these two teachers had worked together, occasionally team teaching but mostly teaching independently, they had tried and tested a range of structures, routines and procedures that they found made a difference for their students to become independent learners. A learning coach had suggested some additional new structures and these built upon the foundation that these two had laid earlier in the year. What the two teachers discovered was that by the middle of the year (Term 3) the students started to take learning into their own hands and be much more self-sufficient and self-guided. This allowed the teachers to then focus on being learning partners to the students rather than always driving the learning.

A Mathematics and Science teacher in a secondary school in Queensland discovered the exact same shift in learning culture when he implemented a range of structures and habits that allowed his students to develop their capacity to be independent learners. He found that rather than spending all of his time teaching and managing behaviour in his classes, the students knew what there was to do, how to support one another, and he had the opportunity to work with students who were struggling with particular concepts.

What do they build?

None of this should come as a surprise because teachers always begin their school year with routines and procedures. But are they well thought out and intentional?

This is a conversation I often have with teachers in my workshops. What are your habitual practices and what do they build? Unless you are conscious about the habits you have then you can’t give them away nor can you test whether or not they are working or can be refined. As an occasional field coach for little athletics I am continually thinking about habits and how to give them away. What are the habitual actions a high performing discus thrower does to throw further? What practices can I teach the athletes to have them develop those actions?

In the same way you as a teacher or school leader can ask yourself two questions:

1. What are the habitual practices I want my students / teachers to develop?
   Then list all the habits that you want the students to develop throughout the year.
2. If I want my students to develop these particular habits what structures, routines, procedures can I put into place that will develop these habits over time?

It is even worth getting together as with your colleagues to collect that habits they have found works for them and then trying them out.

One primary school we are working with has created over-arching themes for each year level. For example, Foundation year is “Having a go and looking after each other”. The teaching team are now designing structures, routines, conversations and ways of interacting with the students that reinforces the idea of “having a go and looking after each other”. The intention is for the students to develop a growth mindset about learning and that it is about learning is about safety and community.

Possible Habits

I have attached links to a range of articles for you to access to give you some ideas about possible habits you can use. Doug Lemov’s book, Teach like a Champion, is a gem. One thing worth noting is that there may be some unconscious habits you want to stop doing in the process. One big one for some teachers is they talk too much! It is worth reading Charles Duhigg’s book called The Power of Habit where he gives a range of examples and coaching on how to change the routines we are stuck in.

5 Scientific Ways to Build Habits That Stick

25 Reading Strategies That Work In Every Content Area

Developing Student Centred Learning and Teaching

Hacking Habits: How To Make New Behaviors Last For Good

How Visual Thinking Improves Writing

Feedback Unlocks Reluctance

Why Teaching Helps Students Learn More Deeply

My Biggest Regret as a Teacher: Extrinsic Rewards

SLANT

Rituals make us Value things more

You will find this post cross-posted at the Whole Child Education Blog and on my ASCD Express Blog

“I can see clearly now, the rain is gone,

I can see all obstacles in my way

Gone are the dark clouds that had me blind

It’s gonna be a bright (bright), bright (bright) Sun-Shiny day.”

Johnny Nash

 Phillip Barlow is well known in the art world for his out-of-focus oil paintings. The South African artist uses blurriness to hint at shapes, subjects and context. In a world which has become hooked on high definition his work highlights the importance of focus and clarity in our everyday life. Those of you who wear reading glasses know the importance of being able to focus and have clarity when you are reading. I invite you to consider that many schools, teachers and students operate within an environment of a lack of clarity.

Many schools are unclear about the professional or student learning culture they are building. They have an idea of what they want but a range of pushes and pulls from education systems, parents, day-to-day issues and even finances blurs the focus of the individuals who are responsible for keeping it on track. It shows up in the way strategic plans are created and then followed (or not), in the staff meetings (and their number and length), in what is considered important throughout the school year, and in the structures put in place to support the school vision and goals.

Teachers are often unclear about the actual outcomes and goals they require students to achieve inside of a whole school plan. They read the prescribed curriculum and then form an interpretation of what that means. Quite often the result is a surface interpretation as deeper understanding and coherency requires the time for significant discussion and unpacking by a team of teachers consistent with the school mission and goals.

Students are often asked to learn in an environment where they don’t why they are doing what they are doing, nor what skill they are actually building. Without structures such as learning intentions, success criteria, formative rubrics, and clarity about WHAT, HOW, WHY and how to deal with obstacles to their learning – they often progress slowly towards achieving learning outcomes and building required skills.

Clarity, by definition, is the quality of being clear, coherent and intelligible.

The more that we work with schools the more we discover that what they are actually asking us is to partner them in creating clear, coherent and intelligible approaches to achieving what they want to achieve. It is not that they don’t know what they want (necessarily) but that it is a bit fuzzy or maybe they are unclear about the path to achieve their goals.

We find that most schools, whether they are of the government, catholic or independent persuasion, often have not clearly articulated what their purpose and the overall goals that they are trying to achieve. Sure they have school values. Sure they have a strategic plan. However we when dig down into what those goals, visions, and plans we find a lot of uncertainty rather than rigor and dealing with the reality of achieving their goals.

When we look at most school strategic plans they are often planned in such a way that it is hopeful rather than based in the reality of what would work best for schools, staff and students. It is NOT that we are dealing with people who can’t plan. What we are dealing with is, quite often, a lack of clarity of WHAT they are actually trying to achieve and a lack of a clear path to HOW they will achieve those goals in ways that coherently creates a powerful learning culture whilst supporting all students, staff and parents.

The same can be said with teachers. When we support teachers in planning curriculum we spend an enormous amount of time having them become crystal clear about what the learning destination they are desire the students get to. What are the skills, understandings and knowledge they want the students to gain? What will it look like when the students get there? What scaffolding and learning activities could they then design that will have the students’ progress towards that learning destination?

The great thing we have found, time and time again, is that once the school, teacher, or student is clear about their destination – they are immensely able to do what needs to be done to get there.

I am always ready to learn although I do not always like being taught.

– Winston Churchill

As many of you who read this blog know it is the week before the school year starts in Australia. It is a great time to reflect about last year and to begin creating the year before the students hit the classes.

As a way of beginning your year without stressing you out too much but giving you something that will inspire you and help you set a context for the year we decided to fill this first blog of the year with resources, through provoking articles, and inspiring videos. If you haven’t figured it out yet … this is how we work with schools – that’s why we get such great results and feedback!

Wright’s Law
This is a fabulous video which shows the heart and soul of a Physics teacher who truly engages students in Science but also tells the story of his life about why he Science is so critical to him.

Motivating Boys
Boys experience particular challenges to learning. My son is just hitting the teenage years and his ability to be distracted and avoid doing what needs to be done around school work (whether in the class or at home) is legendary in my house! Thankfully we have friends who put them onto Barry McDonald’s blog and books. The January newsletter of Mentoring Boys (Motivation_Jan2013) discusses some ideas behind how parents (and teachers) can support a boy’s internal motivation to achieve. Barry uses a lot of learning references we also use in our work.

Choice Words and Acknowledgement
As a reinforcement of the concepts covered in Barry’s article, the following two articles highlight how teacher’s use of language and acknowledgement can develop students to become empowered learners. Choice Words explores how teachers can support student identity by the language the use. Use Acknowledgments More Than Praise discusses the importance of acknowledgement rather than praise as a way of empowering the self-esteem of a young person. If you self-reflect as a teacher, you will find it is on those occasions you emphasised and recognised effort and persistence, that your ‘struggling’ students started to shift. It is worth passing on some of these articles to your parental communities.

When Students Seem Stalled
One of the key conversations we have with teachers is to discuss with them what structures they have in place to develop students to think in the way that they (they teachers) want them to think. Quite often the teaching cohort identify quite a few structures but what they often realise is that the teaching team is not consistent in codifying and applying the structures to build particular thinking in the students. In this article from Educational Leadership (When Students Seem stalled – cognitive development), Betty Garner discusses the importance of developing cognitive structures to support those students who just “don’t get it”.
As a short anecdote, one teacher that Adrian coached last year shared how it was a Year 10 Maths teacher who sat down with her in Year 10 and listened and gave her the way to think about her maths that inspired her to become a teacher – and she is a brilliant teacher!

Adolescence – a biological essential?
We have often heard (and experienced in some cases) the challenge of dealing with teenagers. Why do we have a teen phase in our evolution? We have heard other ways of expressing this which haven’t been quite so diplomatic! The research report Adolescence – critical evolutionary adaptation covers a lot of ground but it examines the biological necessity of adolescence in the survival of the human species. It also points to the importance of cognitive apprenticeship as a learning approach for this critical time in a young person’s life. I have also attached an article about what Cognitive Apprenticeship actually means – making thinking visible.

If you are interested in what we can provide for you and your school check out our 2013 Scope of Works document, or simply contact Adrian at adrian@intuyuconsulting.com.au. It is a no commitment conversation and if we can’t assist you then we certainly can point you to someone or somewhere you can find out more.
If you don’t know much about Intuyu Consulting check us out at our website, our facebook page,  or even on twitter.

“Can you consistently perform if you are not accountable for your own performance?”

In a discovery session with a group of teachers recently we explored the skills and understandings they saw missing from their year 12 students to enable them to perform well in their end of year exams. Our purpose was to use backward planning to map what would need to be developed in each of the preceding years if we were intending to support student performance at year 12.

At one point, as I was listing the ideas they were bringing up, I had a realisation. I then asked them the question above. We then discussed some of the ways they challenged the students to be accountable for their learning. The main one was as the students entered Year 11 by having the students do an assignment that was at the end of Year 12 level. The intention was to shake the perceptions of the students and have them realise that the road to performing well in the final Year 12 exams was to grow up and be accountable for their own learning journey.

I don’t know how many teachers complain about the lack of ownership of students of their learning. I do hear a lot of comments about spoon feeding and teachers needing to put in a lot of effort to support the students to develop themselves.

What I would like to suggest to you is that we need to develop structures of accountability where we gradually release responsibility for learning from the teachers to student. This is not a new idea as Vygotsky spoke of this idea 50 years ago. More recent research has back this approach for cognitive development. However I want to extend it further than just a classroom pedagogical result. How could we design learning through a student’s years such that they develop being accountable for their own performance. It isn’t our job to make them learn … that is their job.

What sort of structures could we begin to embed into the way we teach and the students learn that will naturally lead them to becoming responsible learners who are accountable for their own performance? Could we possibly plan this gradual release as a natural part of the way they learn? I believe we can but it would need teachers to think from the whole school picture not just their domain and class responsibilities.

More on this at another time, but I do want to say this is one of the tenets that we build our workshops upon.

The following is an except from my book Exceptional that will be published later this year. For those of you who are first time readers – welcome. For those of you who are constant readers – welcome back for 2012!

Everyone has an opinion about education. I do. You do. Kids do. Parents do. Grandparents do. Teachers do. Politicians do. The media does. Radio shock jocks do. Billionaires do. There aren’t many days that I don’t hear some comment about education from someone. Unfortunately for a large percentage of the population much of it is misguided and uninformed.

You might believe that is a big statement – not really.

You have to consider on what people base their knowledge and understanding. Opinions are based on what people know from reading, listening, others people’s opinions, media, cultural background, and on their life experiences. Life experiences have the greatest effect on shaping our perceptions.

For example;

• If you are a student and your Grade One teacher created with you that “mistakes are your friend” and then set up the learning environment to allow you to make mistakes and learn from them, then you would probably love learning all the time.
• If you are a student and you failed assessment under test conditions, despite “knowing the material”, how long would it be before you decide that you “don’t get it” and progressively build an opinion about you and school?
• If you are a parent who has had poor educational experiences you can unconsciously impart your beliefs and mindset to your children (“I’m no good at maths”, “school is hard”, “I hated homework”, “I couldn’t wait to leave school”, etc).  If you have an ingrained belief that maths is “hard” then, unless you deliberately tackle that self-belief as a parent, there is a pre-disposition for maths being “hard” for your children.
• If you are a “Tiger” parent with a strong belief that it is only by working long hours and doing lots of rote learning that your children will succeed, it is likely you will drive your children incessantly to perform academically – sometimes to the detriment of other skills.
• If were teased at school, perhaps bullied, maybe even had a humiliating experience, that would affect your perceptions of education and learning. This is the same if you grew up in a tough socio-economic environment.
• If you as a teacher believe that you don’t need to adjust your teaching practice and the way you structure learning in the classroom for different students and different generations of students (“I’ve been teaching this way for 20 years and it has always worked”, “I’ve always produced good results with my students … well the good students … the rest didn’t want to work and that’s not my fault”, etc) then this will affect how you teach.

Whatever the life experiences, people form a mental model or picture of the way that education is and then hold on to that – sometimes for a lifetime. And it is quite challenging to shift that mental picture when you have a lifetime of reinforcement from looking through the lens you have looked through for years.

I still vividly remember one student from my first year of teaching Engineering at university. He approached me to give him some one-on-one tutoring for a subject he had failed twice previously and he needed to pass it that year to finish his Engineering degree. I agreed, looked up the textbook and set a problem up on my whiteboard. My intention was to get a sense of what he knew and what he didn’t know. In my mind I thought I had a chosen a reasonably simple example. As this student approached the board to have a go at answering the question I heard him mutter to himself “this is going to be hard”. I stopped him in the moment and asked him if he realised what he had just said. He said “No”. I repeated back to him what he had muttered and said “That’s what we are going to go to work upon – your belief that it is hard. I am going to make sure you start to see how to think about the subject so you can make it easy for yourself”. It was an extraordinary learning experience for me as an educator because I really had to get into his world and understand what his misconceptions and understandings were first before having him step into my thinking and methodology. It took time and persistence on both our parts. And yes he did pass with flying colours when he took the exam again.

In this discussion I am not implying or asserting that people’s opinions are invalid. They all have some validity – at least to them and their personal experiences and understanding. For that student who struggled to the point of failing that Engineering subject twice, it was reality that the subject was hard – for him. However, that is my point really. Our opinions and beliefs are mostly personal. Understanding and experience on the small scale. People’s opinions are rarely built upon exploring and coming to grips with the context and assumptions upon which those lessons and understandings were built.

This is also true about governments and the media. How many governments have implemented change programs without actually looking at what the research shows works in schools and for learning (No Child Left Behind policy in the USA, Merit Pay for teachers, and so on)? How many millions of dollars have been spent on what looks good and is politically impressive rather than what actually works? How many media organisations report on education and learning from a very narrow perspective? How many rank or discuss the quality of schools based purely on standardised testing that only measure very limited outcomes of student abilities?

It is not easy or common to look at the context or assumptions within which you learn and understand things. These contexts are like the air that we breathe. They are often so invisible to us and just part of everyday living that we don’t think about it.  Shankar Vedantam discussed a number of these “unconscious forces that influence us” is his book “The Hidden Brain: how our unconscious minds elect presidents, control markets, wage wars, and save our lives”. We will go into much more depth about unconscious biases and mental models at another time. Suffice to say right now that people’s opinions are quite often not based on hard facts and research but hearsay,  personal experiences, and unchallenged underlying assumptions.

If we are interested in creating and building educational systems that will allow / encourage / support ALL young people to become exceptional then we have to go beyond the normal everyday opinions about education. Notice the emphasis on ALL. We need to look at the contexts and assumptions that underlie our beliefs and actions.

What do you think?

If you are interested in our work and research see some of what we do on www.intuyuconsulting.com.au

It might seem odd to begin a blog post with this title but hopefully you will find that the analogy is quite apt.

We all live in houses. However, the style, the quality, the fittings, the size, and the neighbourhoods that our houses are in are all different. It seems to be a trend in most countries that many people aspire to the larger house, the higher quality fittings, the expensive neighbourhoods, the more impressive styles, and so on. It would be a rare person that aspires to a small hovel.

The aspiration of living in one of the grander houses drives many people to act to raise the money, work hard, and commit to mortgages so they can live in one. Certainly in Australia we have seen the rise of larger and larger houses on smaller blocks of land.

What’s the point of this conversation?

Well, consider that all of our conversations are housed in contexts and the size, quality, style and conversational neighbourhoods of these contexts are what drive actions and motivates people.

If an organisation or a school or a class is living within a large context then what you would find are actions that are consistent with an inspiring compelling context. The context automatically creates an environment where people want to take action – they are compelled to live a bigger life, taking large actions, produce higher quality efforts and products – stretching themselves.

If you are living in a hovel of a context then the actions are similarly small.

This blog arises because I have been working with a range of schools over the past few months that I have begun to notice the variations in contexts that different teachers and schools are housing.

It is crystal clear which schools and teachers have created large mansion-sized contexts for themselves and which are operating inside of small outhouse contexts.

Schools that are creating and building large contexts and aiming for being world-class educational institutions (regardless of the current status of facilities, funding, teacher experience, government or corporate support) have staff who are inspired, creative, working collaboratively, experience being valued. Their classes, while rarely perfect, demonstrate students who are thinking and acting big. Both staff and students have a purpose and they are working together in a disciplined and structured manner to accomplish that purpose.

The schools that struggle quite often lack the larger context. The senior management have not clearly articulated the large vision that their school stakeholders can aspire to – they are living inside a contextual hovel. Sometimes they have a large vision but that vision lies in a filing cabinet somewhere – the vision is a merely an architectural plan.  Sometimes the vision is on display on posters and various signages around the building but the systems and practices from which the school operates (the curriculum, the staff interactions, the stakeholder relationships, the classroom activities, etc) do not reflect that vision – the builders are not following the architectural drawing. Sometimes you have an environment where some teachers and administrators are operating from the vision and some are not – your house will be inconsistently built with some great parts and in other parts it is apparently shoddy work. In fact, what one will find is that trying to build a fabulous house on top of shoddy or inconsistent work is virtually impossible.

If you are going to build a cathedral it is a long term goal. You have to have quality architectural plans. The vision must be articulated clearly. You have to refer to them all the time as you build it. You have to have quality builders working together, communicating and collaborating together, people with different strengths and skills in a team – all of them valued. You will need a group that leads the process who is clear about the vision and the plans, everyone aligned on the plan and the steps that will lead to the finished product. You need to have a team that confronts and overcomes obstacles together – sometimes working out solutions that no one else has thought of because the challenges that this group faces are profoundly different from others. There has to be a high level of trust and everyone being collectively responsible for the journey.

If you look at any major undertaking, any architectural construction that has a lasting impact and survived over large swathes of time, this has been what has driven the process. In fact, if you look at any major undertaking in any field you will find it is the same.

Why not operate this way in schools?

In fact, to build a high-performance educational environment you would automatically follow this approach. Just look at Finland. Just look at Singapore. Just look at those schools, school systems, and teachers that you admire.

My questions to you are … what house do you live in? What are you building – a cathedral or a hovel?

Some of you know that I was an Engineer by education. I love my science and maths and I always did well in them at school and university. Given this I was very excited when I saw three articles flash their way across my screen today and I thought I would share them with you.

These articles are for all you science and maths teachers who are looking for new ways to engage your students and make learning more interactive and easier! Two of the articles can be found at the www.aalf.org website.

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Interactive Simulations to Develop Higher-Level Science and Math Skills With Your Laptops

Author: Scott Garrigan, School of Education, Wilkes University | March 8th, 2011

How can you best engage students in higher-level science and math activities to prepare them for an unimaginable future filled with the fruits of nanotechnology, biotechnology, and genetic engineering? Most teachers and textbooks don’t address these topics that can capture the imagination of young minds. PhET, NetLogo, and Molecular Workbench are three teacher-tested simulation systems that hundreds of thousands of students use to learn the most challenging concepts in science and math.

PhET Interactive Simulations (http://phet.colorado.edu)

Imagine building a skateboard park to study the conservation of energy. PhET’s Energy Skate Park simulation lets students see and graph changing kinetic and potential energies as their skater rips down the steep starting ramp, powers through a loop, and survives daring jumps. Students learn basic physics as they create the most thrilling skate tracks they can imagine. They learn proper science terminology and measurement, too. Here’s a link to Energy Skate Park with 25 teacher-designed lesson plans and translations of the simulation in 30 different languages: http://phet.colorado.edu/en/simulation/energy-skate-park.

PhET interactive science simulations, developed at the University of Colorado at Boulder, provide 200 interactive models that cover most science and some maths classes from elementary through university levels. Each sim focuses on one science or maths concept, and it allows students to change key variables to see how the model responds. Teacher-developed activities and lesson plans accompany each of the simulations.

PhET addresses both core curriculum and emerging science. Sims like Glaciers, Masses & Springs, pH Scale, and Salts & Solubility address traditional concepts. Students explore cutting-edge concepts through sims like Molecular Motors, Quantum Bounds, Stretching DNA. Some interactive simulations designed as construction or game activities are Gene Machine, Build an Atom, the Radioactive Dating Game, and Electric Field Hockey.

Maths simulations like Equation Grapher, Curve Fitting, Calculus Grapher, and Plinko Probability allow students to engage with maths ideas in ways are not possible with paper and pencil. Professional development or coaching shouldn’t be needed for PhET because each simulation is focused on a single science or maths concept and extensive lesson plans are provided.

NetLogo: http://ccl.northwestern.edu/netlogo

Third graders use NetLogo’s Climate Change model to visualise how individual carbon dioxide molecules reflect infrared rays back to Earth to create a greenhouse effect. Across town, eleventh graders use NetLogo’s Weak Acid simulation to model and calculate how weak acids affect pH differently from strong acids. NetLogo includes 200 pre-programmed simulations that cover most areas of science and some areas of maths such as probability. Each simulation includes clear directions for student and teacher, an explanation of the contribution of each variable, and suggestions on how students may extend the model.

Like PhET, students engage in exploring science relationships by investigating the effects of key variables. Unlike PhET, NetLogo simulations provide more accurate and more flexible models that students can explore more deeply. They can modify the models, and they can even create entirely new simulations using the built-in NetLogo computer language and interface components. Students can also design individual and networked educational games with NetLogo.

The NetLogo designers have created sequences of simulations to create a comprehensive Gas Lab, Probability Lab, and Genetics Lab to promote deep understanding of complex topics that are otherwise difficult to study. NetLogo excels at agent-based modelling to explore emergent behaviour, and it is used by university researchers and governments as well as by K-12 students to study complex relationships.

“Agents” are independent objects such as individual molecules in a gas, an individual rabbit in a population study, or an individual person in an AIDS epidemic. This kind of experiment can only be modelled by “running” the simulation rather than by applying a mathematical formula to get a “right answer.” NetLogo simulations include the same kind of random variability that affects behaviour in the physical world. The system helps students understand the importance of relationships rather than fixed answers for complex problems.

Molecular Workbench (MW) (http://mw.concord.org)

Advanced science students use several Molecular Workbench nanotechnology modules to learn the quantum mechanics that drive individual atoms and molecules to self assemble in future manufacturing operations. The twelfth graders use MW’s built-in “camera” to capture the outcome of their model and the built-in report generator to record their observations and explanations. When they finish, they submit their project reports through the MW system to their teacher for grading. Across town, fourth grade students run MW’s Evolution Readiness simulations to learn the scientific processes involved in natural selection.

Like PhET and NetLogo, MW supplies the science classroom with hundreds of simulations carefully designed to meet the needs of today’s K-12 learner. Teachers find MW’s interactive models invaluable to teach difficult concepts from quantum mechanics, nanotechnology, biotech, and genetics that are not addressed well in traditional textbooks and lab experiments. MW was created at the non-profit Concord Consortium, and their team of educators, researchers, and programmers create new modules every year to address emerging K-12 needs.

Each module contains scaffolded lessons to guide middle and high school students step-by-step through an interactive learning process in which they complete projects that can be used as performance-based assessments. Teachers and students can create their own simulations and activities. Molecular Workbench has been nicknamed “Word for Molecules.” MW was designed to provide molecular dynamics simulations to help learn concepts in physics, chemistry, and biology, and it has been enhanced over the past decade to simulate atomic, sub-atomic, and fluid behaviour as well as Newtonian mechanics. My favourite is a nanotechnology self-assembly tutorial that I’ve used to help hundreds of teachers experience the kind of “ah-ah!” moments that their students can get through Molecular Workbench activities.

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Communicating The Way Mathematicians Do

Author: Nils Ahbel | March 8th, 2011

I’ve been a mathematics educator for over 20 years and have always kept abreast of the latest technology. There are many excellent tools for investigating mathematics, but until recently all the available tools forced users to use the computer or handheld keyboard, which is clearly not the way mathematicians work. Unlike the subjects of English and history in which a QWERTY keyboard is an excellent interface, mathematics and science are at best clumsily communicated via a traditional keyboard. For that reason, we preferred paper and pencil or marker and whiteboard. On the other hand, interactive whiteboards and tablet PCs represent an environment in which mathematicians and scientists can easily share their ideas electronically. Fortunately, software has begun to emerge that recognizes handwriting so the software is simply a natural extension of the stylus or marker.

One such piece of software with which I have been working is FluidMath. This software has improved my teaching experience immensely. In particular, the software lets me write anywhere on the page and will recognize my handwritten math expressions and equations and turn them into graphs and tables quickly without thinking about or navigating the user interface. From my perspective as a math educator, I feel my work has greatly benefited from these capabilities. Everything on the FluidMath page is dynamic so, for example if you change a function, the associated graph, table, and solution change as well. Variables can be associated with sliders, so the environment is incredibly dynamic. Both graphs and sliders are created by a one-stroke gesture.

Click here to see video demonstration 1: http://www.youtube.com/watch?v=vREuu7fGorA

The FluidMath software platform also includes a broad and general-purpose Computer Algebra System (CAS). The Common Core Standards Initiative (1) lists CAS as an appropriate tool when solving a mathematical problem. CAS has been getting more attention in textbooks and will, in my opinion, continue to see increased emphasis. The teacher or student interfaces with its CAS through handwritten input via the screen of the computer in order to do mathematical computation or graphing. With Fluidmath, the tablet PC is not used as a substitute for manipulation skills, but rather as a tool for investigation. This change in perspective is incredibly important – it helps students be mathematicians and not just learn mathematics.

Click here to see video demonstration 2: http://www.youtube.com/watch?v=lOmt2R79sPA

In sum, I see the advantage of this software for 1:1 educators as three fold. First, the handwriting recognition is outstanding. Second, FluidMath uses standard mathematical notation so teachers and students alike need not learn any new syntax as you would with almost any other mathematical software. Third, the dynamic nature of this software means mathematics no longer need be a ‘paper and pencil’ subject but it can now come alive.

Based on my experiences, FluidMath in conjunction with tablet PCs make the learning of mathematics more effective, more engaging, and more enjoyable.

(Note that this software is not yet on the market but is scheduled to be released in the near future. For more information, visit: www.fluiditysoftware.com )

I have realised over the past 6 months how few schools are actually clear about what their long term vision is. Part of the impact of this lack of vision and disciplined building of this vision is that schools can quite often be focussed on things that disperse their power and ability. They become like a thirsty person wandering in the desert – going from one mirage to the next. Teachers become inured to change and morale can suffer.

In an increasingly competitive educational and financial environment, and as part of the paradigm shift occurring as we move further into the Information Age, it has become critical for schools to be clear and focused in their vision and actions. Even more so is to develop a culture of disciplined people, disciplined thoughts, and disciplined actions.

There are a number of steps to this process including

• Empowering Level 5 Leadership (as Jim Collins speaks of in “Good to Great”)
• Getting the right people on the bus – getting a strong core group of leaders within the school who will be the team who will take responsibility to create and build the vision within the school community
• Creating a hedgehog concept for the school
• Creating clearly what it means, what it feels like, what it looks like when that hedgehog concept is accomplished
• Creating the non-negotiables as you move forward
• Confronting what is actually the current state of the school – what is working, what is not against the vision, mission statement, or hedgehog concept.
• And so on

What I want to share about this blog is how we worked with a leadership team at a school to create the hedgehog concept and began the process of uncovering their collective meaning, vision and actions to deliver on that vision.

A Hedgehog concept is idea that Jim Collins shares about in his book “Good to Great”. The idea comes from the story that the hedgehog succeeds because is only good at one thing – it rolls itself up into a ball with its spines outwards and it is protected against any dangers (such as foxes who have to come up with many strategies to succeed but rarely ever do). What Jim Collins found is that the most consistently successful organisations follow this concept as well. They adhere fanatically to their vision (Hedgehog Concept) and ignore taking on anything not consistent with it. This gives them an ability to remain focussed and able to develop consistent structures, approaches and culture.

There are three elements to the hedgehog concept:

• What can you be the best in the world at?

•      Understand what you can and cannot be the best at

•      Let your abilities, not egos, determine what you attempt

• What drives your economic engine?

•      What has the greatest impact on your economics (reputation for a school)?

• What are you deeply passionate about?

•      Great organisations focus on those activities that ignite their passion

You can see in the diagram below the result of doing this work with a school.

Some of the discussion that raged as the leadership team created the 3 elements was fascinating

• In distinguishing what they were deeply passionate about the team really cottoned on that this was not just a statement for students or learning but their bigger vision for all people. They wanted everyone (teachers, students, parents, etc) involved with the school to be exceptional, inspired and passionate. We toyed with the idea of “the best they can be” but distinguished this was limiting. How do we even know what people’s best is? We toyed with extraordinary but that is a quite oft used word that has lost its meaning for many. This led to exceptional – an exception to the norm.

• The team wanted to be the best in the world at building learning communities. I confronted the group this week to define what that actually meant. In the first few minutes of discussion it was interesting to note that different people had different conceptions about what that meant or looked like. WE spent most of the session doing the work to be really clear about what that meant. Here is what they created:

Groups of people with a common goal / vision

Working collaboratively (learning from and together)

Removing mediocrity

Developing 21^st century social competencies

Inspiring passionate and exceptional people

• The leadership team had to define some not-negotiable items in the shifting of the school to deliver its vision. These included:

o   Working collaboratively

o   Removing mediocrity

o   Passion and Professionalism

o   High levels of literacy and numeracy

o   Making informed decisions on student learning

o   Developing 21^st century social competencies

o   Every child matters

o   All aboard or not on board

In the whole process it became clear that as questions and ideas arose it pointed to that certain structures, systems and thinking had to be embedded in the staff (including having the staff plan for delivering social competencies first and then strategically looking at the content to be covered and discussing how the content be used to develop the competencies).

The homework the leadership team is now working upon is to become clear about what each aspect of the hedgehog concept means and what it looks like. They will also share with another staff member who they consider to be a leader within the staff community. The purpose of this is to start enrolling the staff in a future being created and to ignite feedback and leadership. Finally, against the future and vision they have created, they will outline where they are now in that journey. This will allow us to plan the steps to achieve that future.

It is currently a frustrating and challenging time in education. It seems as if teachers and educators are speaking one language and having one set of outcomes for the students they teach, and politicians, the media, and parents are speaking another.

Because they are.

It is occurring because they are standing in different paradigms. We are in the midst of the biggest paradigm shift in the human existence and we all are experiencing issues that I suggest are normal to the shifting of paradigms.

To give you a sense of this and give some context to what the education system will be going through over the next few decades let’s look back at the last global paradigm shift.

Pre-Industrial Age to Industrial Age (up to mid-1700’s)

Prior to the Industrial Revolution (1770’s) a broad (or liberal) education was limited to the wealthier middle and upper classes who could afford tuition. For the most part education was provided by religious organisations and focussed on Latin, scripture study and Aristotle’s works (logic). This was appropriate to the social and economic structures of the time as it was the wealthy middle and upper classes that controlled trade and political power. There was no need to educate the large proportion of the population as they only needed sufficient education to ply their trade (which for most people was quite local). Life for the masses was subsistence living and life expectancy and quality of life was quite low for the majority of the population.

During the 18^th and 19^th centuries there were several important developments that led to the creation of the current educational system.

Firstly, following the Reformation, education theory took a leap forward with Comenius (1592 – 1670), amongst others, proposing the idea of human learning as a progression from youth to maturity and from elementary to advanced knowledge[1]. This lead to the concept of universal education covering topics and subjects that were actually useful to the life of the increasingly urbanised towns and cities where the population had grown significantly. There was resistance to this movement as “too much schooling would make the working poor discontented with their lot”.[2] The class system saw the education of the poor as a threat.

It was really the Industrial Revolution that spurred Governments into providing national education systems because industry required workers with more than limited reading skills and a catechetic focus. As the period of the new Industrial Age progressed and democracy widened, development of public education was slow. It took many years and an extraordinary amount of investment and political will to develop the educational systems. In countries such as Australia and the USA the push was for a common model of education to reduce ignorance (and thus crime) and create good, moral and law-abiding citizens[3]. In the UK the public school system was initially developed in-line with the entrenched class system and later theories of “intelligence” to ensure a divided public education system.

Regardless of the country, public education focussed on what could be considered a factory-model with children in “date of manufacture” groups[4], “one size fits all” teaching and curricula, where most learning was by rote, memorisation and instilled in students “the advantages of being orderly, clean, punctual, decent and courteous, and avoiding all things which would make them disagreeable to other people”[5]. To ensure quality control students were tested to determine if they knew what they needed to know to work in industry. As the prosperity of the countries grew, this industrial educational model embedded into the fabric of society and the systems and structures have become entrenched in how western society functions.

During this growing Age of Industrialisation this educational approach worked well.

It allowed for the economic and social rise of people from the lower classes. In the countries that educated their populations, there has been a huge leap in the quality of life and life expectancy for the masses. It expanded trade for manufactured goods and services beyond localised villages and created opportunities worldwide. It prepared people to operate in an industrialised and urbanised society. It allowed for countries to efficiently build their infrastructure and economic output around an industrial framework (as Seth Godin points out in “Lynchpin”, most corporations and organisations still follow the factory formula[6]). It allowed for economies of scale by being able to educate large groups of people quickly using minimal resources.

For around two hundred years worked really, really well.

What there is to note is that in the shift of paradigms during the Industrial Revolution are:

• It took a while for the infrastructure, governmental systems, and educational practices to create the public educational systems to be formulated and then mature to be effective
• It took visionary political will working over a long period time to ensure the embedding of the paradigm
• There was resistance by people and organisations in power
• Economic necessity and profitability drove the change
• Education lead to the increasing democratisation of the countries as people gained the knowledge and wherewithal to create a more equitable system for all.
• Corporate, government and educational working structures and systems began to match the new paradigm for efficiency and prosperity purposes
• People were educated and trained to fit the new industrial paradigm

Industrial Age to Information Age (1980’s ff)

With the advent of personal computing, the internet, and social networking there has been another profound paradigm shift in humanity.

No longer is information scarce and knowledge held by the few. There is a wealth of information and knowledge accessible within moments. Experts around the world are at your fingertips on any topic you wish with increasing access to live feeds, videos, lectures, blogs, podcasts, webinars, and so on. And this will become progressively richer and expansive over time with better search engines, more validated and expert voices going online, and the exponential growth in computing technology and software.

No longer is trade confined to your local suburb, state or country. Individuals and organisations can develop niche markets and create sustainable income by reaching out to individuals and marketing worldwide. Companies can compete globally online. In some domains there is no longer the need to have the same bricks and mortar investment to run a successful company. Everyone now has access to creating businesses (not just those with capital, wealth or power).

No longer is media only the purview and voices of the rich and powerful. Individuals can express their views, argue and debate, follow the news, create the news, campaign, learn about what is happening in the world … all from home. A progressively greater number of voices will be heard and interests served.

I could go on but you know many of these things and probably see much more than I. In its essence we are at the beginning of a period of human history that is rapidly changing. We cannot predict what the world will look like in 10 years let alone by the end of this century.

What you should note however is that:

• It will take a while for the infrastructure, governmental systems, and educational practices to create the new public educational systems to be formulated and then mature to be effective

This will cause much of the debate raging in countries as they compare themselves via assessments like PISA and then explore and develop structures and systems that are forward thinking and prepared for the constantly changing world. I suspect that Finland’s model of education will lead the world for many years to come.

• It will take visionary political will working over a long period time to ensure the embedding of the information age paradigm

This is one of the challenges because we have yet to see people with the political will to challenge the status quo and plan for the long term future. In fact, the system of short terms for political parties and pandering to the status quo has resulted in a democratic system that only allows small incremental changes.

• There will be resistance by people and organisations in power

We are currently witnessing this quite a lot from the poor media portrayal of schools, politicians and parents still thinking purely from an industrial age concept of the world, and businesses trying to model the education system on their industrial model

• Economic necessity and profitability will drive the change

As prosperity becomes driven by opportunities arising from the Information Age Paradigm then this will become more so. I suspect that there will be a greater diversity of blended industrial and information models arising for companies and corporations. We never lost the need for agricultural structures and systems with the shift away from a purely agricultural paradigm.

• Education will lead to the increasing democratisation of the countries as people gained the knowledge and wherewithal to create a more equitable system for all

Notice the rise of organisations such as Avaaz, GetUp in Australia and Wikileaks. As people are more informed and able to collaborate and organise over vast distances there will be a resultant increase in the rise of equitable democracy.

• Corporate, government and educational working structures and systems will begin to match the new paradigm for efficiency and prosperity purposes

See Google, Facebook, Amazon, Zappos, Intel, etc. Their workplaces are models of creativity, fun, industriousness, and innovation.

• People will be educated and trained to fit the new information age paradigm

Educational systems and approaches will change. The one size fits all teacher directed model is already experiencing challenges and digital native students are no longer satisfied with boring, content-focussed education. I can imagine that within 10-15 years the development of educational hardware and software will match to address the wide student interests and academic variance that exists within our schools. Currently we are dealing with the technological challenges that our funding and infrastructure does not allow for.

It is interesting to note that educational approaches such as inquiry learning, divergent thinking, and differentiation has been around for decades (much like Comenius educational philosophy was around for decades) and is only slowly now being implemented in schools. However, there is no throwing the baby out with the bath water. Great education has always been great learning.

The work that we (Intuyu Consulting) focus on in schools is working with them to shift their thinking, staff culture, staff planning and structures to the new information age paradigm BEFORE they necessarily have the technology in place. Technology has always been an accelerator … not the answer. We empower the staff to be the creators of what works for them and their circumstance as they stand in the bigger picture. What we have found is that they are enlivened and begin to work with each other and the students to create exceptional learning, projects and results while still operating inside of the current educational and funding paradigm.

[2] Chitty C (2004) Education Policy in Britain Basingstoke: Palgrave Macmillan.

[3] The Evolution of Education in Australia, http://www.historyaustralia.org.au/ifhaa/schools/evelutio.htm

[4] Sir Ken Robinson, Changing Education Paradigms, 2010

[5] http://www.historyaustralia.org.au/ifhaa/schools/evelutio.htm

[6] Lynchpin: Are you Indispensible? Seth Godin, 2010

Creative Commons Copyright: Intuyu Consulting 2011

Have you ever had an “ah-ha” moment?

Archimedes did, apparently, when he stepped into his bath and noticed that the bath level rose by the volume displaced by the volume of his body. Archimedes yelled “??????!” (or Eureka which is Greek for “I have found it!”) before he went running through the streets half-naked excited about his discovery!

Insights come to us seemingly only at certain times and the process doesn’t seem to be reproducible. But insights is what is at the core of our learning and the learning of all human beings. What if we could make it reproducible?

David Rock in his recent book, Quiet Leadership, has given us an insight into insights.

David discusses recent neuroscience research that suggests that there are four stages to insights. The following is my paraphrasing from David Rock’s book and other researchers.

The First Stage: Awareness

Consider that the brain forms mental maps that gathers the information it has stored into some cohesive whole. As a way of accessing the information and ordering it has organised the information and patterns it has discerned into some map and then uses these maps to interpret and relate to the world.

In this first stage the brain is immersed in new information. It could be new perspectives about something we are examining in a class or heard on TV or are currently reading in a book. New information is essentially being processed and the brain is attempting to fit these ideas, thoughts and concepts into its current mental maps. As the brain attempts to integrate the new knowledge it begins to see that there is a dilemma because the new knowledge is creating a different mental map than the one that currently exists but the brain has not yet worked out how to reconcile this conflict by creating a new metamap or by reconfiguring the existing maps.

The Second Stage: Reflection

If one is to develop a consistent process of having insights and thus more productively then there needs to be more second stage “reflection” time in our days.

MRI scans show that people’s brains give off alpha-band waves just before they come up with an insight. Alpha waves correlate with people shutting down inputs from their external senses and focusing on internal stimuli. When we perform tasks that engage the conscious, logical mind we decrease the alpha-band waves. So reflection is NOT helped by asking your students to reflect by writing down their reflections (which is what many teachers do). The writing process should occur after true reflection.

Studies have shown that during reflection we are not thinking logically or analysing data; we’re engaging a part of our brain used for making links across the whole brain. We are thinking in an unusual way, tapping into more intelligence than the three to five pieces of information we can hold in our working memory. We are allowing the brain to think across the whole dataset of ideas, images, thoughts, knowledge to connect and reconfigure its mental maps without any new input from the conscious or working memory.

A simple process to reflect is to sit still and close your eyes (this removes about 70% of external stimuli) and focus on your breathing. Listen to the way you inhale and then exhale for about 60 seconds. Then open your eyes just a fraction and close them again. This sends you deeper into the alpha-band state. Listen to the way you inhale and then exhale for another 30 seconds and then open your eyes and write down your reflections. During this period you don’t think about anything logically just focus on your breathing.

By the way, we have all experienced this process naturally. Quite often we have insights when we are lying in bed before we go to sleep or when we wake up. It is in the quiet “non-logical”, “non-thinking” times that we suddenly go … “ah-ha”!

Third Stage: Insight

At the moment of insight our mental maps have been reconfigured or a new mental map has suddenly snapped into existence. In this moment the body releases various neurotransmitters like adrenaline as well as possibly serotonin and dopamine. This is why there is a sudden excitement and a rush throughout the body.

The intense motivation from having an insight is short term. If you can get people to take tangible actions while the insight is close at hand, even just to commit to doing something later, this will be a big help to ensuring new ideas become reality. If you don’t take some action then and there the insight and new mental map is not reinforced and the insight is lost.