Category Archives: learning

I’m not good at maths but I could be

googleearthlessons

 

As I’ve said already, I’m not good at maths but I think I could be. I get the feeling that my learning style wasn’t catered for in the maths classroom. Something like Real World Math might have done the trick.

What a great way to take maths out of the textbook and into the real wide world. Google Earth’s satellite views of the earth and the interactive 3D environment allow users to add placemarks, annotations, photos and models, as well as measure distances and draw paths.

Within this site you will find lesson ideas, examples, and downloads for mathematics that embrace active learning, constructivism, and project-based learning while remaining true to the standards.  The initial focus will be for grades 5 and up, but teachers of younger students may be able to find some uses or inspiration from the site.  Higher level thinking skills, such as analysis, synthesis, and creativity are encouraged as well as technology skills and social learning.  The scope of this site is mathematics, but many lessons lend themselves to interdisciplinary activities also. 

 Higher level thinking skills, creativity, technology, social learning, and potential for interdisciplinary activities! Just what we need for our students today.

The site has separate areas: the Lessons page; the Community page; the Update page; and the Resource page.

The Lessons are grouped into 4 categories: Concept Lessons, Project-Based Learning, Exploratory, and Measurement.

The Community page is a strong point enabling collaboration and communication amongst users. In my opinion, that’s the drawcard of technology in education.

The other two pages are self-explanatory.

Thomas J. Petra, the author of the site, says this:

Math teachers are always searching for meaningful, practical math lessons that engage their students.  I hope this site is useful to you and that your students learn real world math.computingwithscientificnotation

 An example of a lesson is ‘Computing with scientific notation’; here’s an extract of the instructions:

 

How long would it take to walk across Australia?  This lesson enables students to jump, walk, and crawl around the world without breaking a sweat.  The featured concept of this lesson is computing with scientific notation, but it also involves the distance formula, and measurement. 

In the left-hand navigation, you’ll see concepts used and grade level, eg.

Concepts used: Scientific Notation, Measurement, Rates, Algebra, Distance formula, Problem Solving

Grade level: Grades 7-9

When I clicked on the Community page I discovered it had been moved out onto a blog due to technical difficulties. The RealWorldMath Community blog provides a place for commenting, suggestions, feedback and lesson submissions.

I’m impressed with Real World Math and think it’s a rich educational resource for mathematics. If this was on the agenda in the Maths classroom, I might even give Maths another go.


 

I believe this about learning…

‘map of Romania’ photo by ggrosseck on flickr

 

…students do not come in one-size-fits-all packages and should be treated as individuals who deserve to be stretched

…no matter what their level of learning, a student’s work is enhanced when their parents are involved in the learning process

…the experiences of students are important aspects of learning and should be incorporated in the classroom as possible

…students live up to the expectations given them by their parents, school and their community; if a student is expected to succeed he or she will

…every student has the capacity to reshape the world; they must be guided to making their impression a positive one

…students should learn by investigating the world and issues that surround them in fun and creative ways

…learning should be an  interesting and useful process

…what happens to students beyond the classroom is as important as what is contained in it

…every student deserves an opportunity to succeed

…the highest goal of education is to teach students to reason and think for themselves

...students should be taught and engaged in such a way that they fall in love with learning

 

Tonia Johnson posted her beliefs for learning on her wiki for Adams City High School. They gave me the opportunity to reflect on what initially may seem obvious and unoriginal, but at second glance are actually deep and essential aspects of learning. I started to think about how much of the teaching and learning at our school corresponds to these beliefs; how much my own practices support these beliefs.

Is there one introductory belief that forms a basis for further good teaching practices, or are they intertwined and shoot off each other?

I would really like some feedback from you about which of these beliefs you consider most important and why, and if you can add to this list.

Essential to good teaching practice, in my experience, is taking the time to reflect and critically evaluate what you are doing as an educator. Now that the new school year is starting, I can see how easy it will be to fall into the busy and relentless schedule of weeks and terms without taking time out to breathe or blink. I think we need to make a time to reflect, just as we deliberately schedule appointments to the dentist. Yes, it is sometimes an appointment we don’t feel like keeping.

Blogging (for those of you who continue to argue with me against it) is always a discipline that provides a regular time for reflection and evaluation. Amidst defensive cries of ‘haven’t got the time, too busy’, I stubbornly insist that time must be made. It’s worth it.

 

 

Rethinking young people, rethinking ourselves

schoolkids

Photo taken by Chris Suderman

In his book Through the children’s gate, Adam Gopnik said this about children:

Children reconnect us to romance. For children, … every day is the first day of love: The passions that for us grown-ups rise and fall only in exceptional circumstances, unexpected storms on the dull normal beach where the tide breaks unchangingly, rise every day for them. Shock, hatred, infatuation: “I hate you,” they cry, slamming the door, and they mean it; and then the door opens fifteen minutes later for dessert. They compel us to see the world as an unusual place again. Sharing a life with them is like sharing a life with lovers, explorers, scientists, pirates, poets. It makes for interesting mornings.

I like this quotation for a few reasons. Firstly, to remind me of the passionate and immediate nature of young people. If at school they seem indifferent, apathetic, unengaged, then we need to ask ourselves why. We look to ourselves and what we are doing as teachers to make them behave in a way which is actually contrary to their nature.

Secondly, this passage tells me what we can gain from being with young people, what we can learn from them. Our role as teachers is not to ‘teach’ them in the sense of pouring into them what we know better, it is to listen, to bring out, to – with time, the time it takes to know a person – understand where their interests lie, what their passions are, how we can harness their dreams to educational opportunities. We provide the environment, teach skills, encourage and guide, but we work with the unknown – the unknown possibilities of what each young person is yet to create, to achieve.

As I think about returning to school soon, starting along that well worn cyclical path again, I’m gathering together the technology tools that I look forward to using with students, but I’m not thinking about the technology – I’m thinking about the process, the learning and teaching process that will take place. This year I’d like to focus on providing learning experiences which are from people, from communities, learning not from static texts but from living, thinking people – some from other hemispheres – from conversations, comparisons, real discoveries. I’m hoping that this year’s learning will not come solely from one teacher. The net will be cast wide. What treasures will be collected in the net?

Different kinds of reading – internet and literature

noteasytostayfocussed

 Photo courtesy of imago2007

I’m aware that my reading behaviour on the internet is different from when I read a book, in particular fiction. In addition, I think that my book reading focus has altered since I’ve discovered hyperlinked online reading.

I’ve included a paragraph from a piece written by Sven Birkerts on Britannica blog, Reading in the open-ended information zone called cyberspace.

Again, I’m not saying good or bad, I’m just saying. When I am online I am perpetually aware of open-endedness, of potentiality, and psychologically I am fragmented. I make my way forward through whatever text is in front of me factoring in not just the indeterminacy of whatever is next on the page, I am also alert, even if subliminally, to the idea of the whole, the adjacency of all information. However determined I am to focus on the task at hand, I am haunted by this idea of the whole. Which is different than what I might experience sitting in a library chair knowing that I’m in the midst of three floors of stacks. The difference has to do with permeability, with the imminence of linkage, and it is decisive.

 Here is the complete article.

I’d like to explore this topic to gain an understanding of something that affects our students and us as teachers.

What do others think about the author’s views? What are your thoughts about the different kinds of reading? Do you think our generation of online students are affected, and is this positive or negative?

A balance between teaching skills and content

oldscales

Photo by takaken2008 on Flickr

What are 21st century skills and are these skills different to those currently being taught in schools?  How radically do we need to change our teaching practices?

Daniel Willingham has written an informative post in Britannica blog entitled Education for the 21st century: balancing content with skills, in which he asks and answers the important question: why the sudden concern for 21st century skills.

Willingham quotes reports and books  that point to:

changes in the skills required for most jobs. Our economy is generating fewer jobs in which workers engage in repetitive tasks throughout their day (e.g., assembly line work) and more information-rich jobs that present workers with novel problems and that require analysis and teamwork.

 Willingham quotes Elena Silva in defining these skills as having at their core the ability to

analyze and evaluate information, create new ideas and new knowledge from the information.

He also adds to creativity and critical thinking the following essential skills for the 21st century from a report from the partnership for 21st century skills :

new knowledge … [and] global awareness, media literacy, information literacy, and other new content.

Now, this is where I start sitting up and taking note. Although I’m fully on board with the need for 21st century skills, I haven’t felt comfortable substituting content for skills alone. Memorisation of facts without the skills is obviously a waste of time, and I understand that you need the skills to locate, manage and synthesize the freely available information to create knowledge, but we still need a knowledge of some content, surely, otherwise the skills are free floating and without context. 

Willingham ties up the skills/content dilemma very well for me. He says that the 21st century skills require deep understanding of subject matter:

Shallow understanding requires knowing some facts. Deep understanding requires knowing the facts AND knowing how they fit together, seeing the whole.

And skills like “analysis” and “critical thinking” are tied to content; you analyze history differently than you analyze literature … If you don’t think that most of our students are gaining very deep knowledge of core subjects—and you shouldn’t—then there is not much point in calling for more emphasis on analysis and critical thinking unless you take the content problem seriously. You can’t have one without the other.

As usual, a balance is required to make things work effectively, and this should surely be common sense. This way we avoid the too often pendulum swings that have occurred in the history of education

between an emphasis on process (analysis, critical thinking, cooperative learning) which fosters concern that students lack knowledge and generates a back-to-basics movement that emphasizes content, which fosters concern that student are merely parroting facts with no idea of how to use their knowledge, and so on.

For me, this balance is the key to identifying the problems and solutions of 21st century learning. I’m trying to understand the shift in education more deeply to avoid a superficial conversion. I think that, for me at least, more discussion will enable a deeper understanding of the learning processes and the corresponding teaching processes that are essential to prepare students for work and life in these times.

As usual, I welcome and am grateful for any comments, and look forward to generating some discussion.

In a world in which information is like air, what happens to power?

[youtube=http://www.youtube.com/watch?v=LlqU1o3NmSw&eurl=http://www.usnowfilm.com/&feature=player_embedded]

JP Rangaswarmi  wrote a post about Us Now, a one-hour documentary by Ivo Gormley about participative citizenship, mass collaboration and the internet, and their implications on government as we know it.

The Us Now website links to the thinkers asked to determine the opportunity for government in the radical new models of social organisation. Some of these are George Osbourne, Ed Milliband, Don Tapscott and Clay Shirky.

It’s interesting to follow the new democracy that online social organisations have opened up. More than interesting. As stated in the Us Now website, ‘In a world in which information is like air, who has the power?’

The Us Now blog includes interesting information by Paul Miller from the School of Everything. The School of Everything is a social learning network that connects people who can teach with people who want to learn.

Having been led to read about the School of Everything, and linked to Wikinomics through Paul Miller, I started to think about how, on the whole, we accept schools as the way to go with learning and trust them with our kids. My father, who completed his school education at the age of  14 so that he could get a trade and contribute to family finances, revered Education as a hallowed institution. Throughout my schooling, though, he had moments of disillusionment when I was unable to understand the politics in the TV news report, when I was useless at practical things or what he termed as ‘common sense’, or when I started philosophy and started questioning whether the table was really there. My own experiences as a parent saw me disillusioned at times when my older son was told to dumb down by the primary school psychologist so that he could more easily fit in, and even now, fighting  frustration when my younger son is instructed not to cut and paste, but to use his own words in a project that simply asks for basic facts about a country.

I have friends who have home schooled their children. Is this an option? Hasn’t  home tutoring been one of the ways to educate young people throughout history? And yet, these options have always made me nervous. Maybe because I was told my children would be socially impaired without normal social contact with their peers. Or maybe simply because it wasn’t the norm, and therefore frightening.

I’ve just had a conversation about this and alternative schooling with my older son who has completed year 12 recently. He’s a good example of a passionately curious child who stood out from ‘normal’ children and suffered for it in his primary years, but eventually toned down to fit in. It was interesting to see him become defensive and uncomfortable when I mentioned the School of Everything and questioned the relevance of traditional schooling.

No, you can’t have that, he protested.

Why  not? 

Well, it’s not all about learning of content, it’s about being with people and learning from them.

Who said that an alternative or online learning program excluded face to face contact or social opportunities?

OK, well, you can’t just do your own thing. You have to learn that not everything in life is interesting.

Tell me, how many teachers did you find boring and unengaging, and how much of your schooling have you retained or found valuable in life?

(squirm) But you can’t have life without suffering. You need to learn to cope with disillusionment and disengagment. You can’t totally remove it.

I’m not going to unpack this. I’m just going to ask you to give me your thoughts.

Just do it – together

Allanah King  has made a lot of people smile with her collaborative project dance video. See if you can keep a straight face.

[youtube=http://au.youtube.com/watch?v=v3gbOfgzFBI]

Allanah commented:

The project started out as a bit of fun – it ended up that way too. We thought we would make a collaborative video in a similar style to the Where the hell is Matt video that is wildly popular on YouTube. By having a collaborative dance video we were able to transcend cultural and language barriers as everyone loves to move and dance- it is pretty universal.

Allanah collaborated with schools across New Zealand, as well as Canada, Bangkok and the United Kingdom. She talks about her process on the Time 4 Celebration site.

Why does this kind of thing make me stop in my tracks? Allanah said that she did it for a bit of fun. She also said that it transcended cultural and language barriers since dance is universal. I think it’s a simple example of what makes us human – just getting together and enjoying each other. The fact that there are things like dance or music that we can share across cultures gives me a clue about engagement in schools. It just takes a simple thing, a happening, celebration – as long as it brings us together as a group and gives us a sense of belonging. Great things can come from this.

I like Allanah’s blog title: Life is not a race to be first finished.

It shouldn’t be. It shouldn’t be aiming for good marks in a test. It shouldn’t be focussing solely on a result. It’s about enjoying the process and sharing it with others. I love the idea of creating online learning spaces to support, connect, share and celebrate. Learning shouldn’t be a lonely road. Not a journey kept to yourself. Never an experience without good fun.

I’ve been privileged to do some collaborative teaching with Maria Toomey in her English classes at school. Maria understands this instinctively. Understands and lives this. What her students learn in class they do with a sense of being valued as part of the group. She teaches the whole person, and gives of herself in the same way. She and the boys come together to think, discuss, review, display and celebrate. She shows them the value of learning beyond academic content, and they will remember her beyond the classroom.

By the way, do yourself a favour and read some of Matt’s dancers’ comments here. You can also get a Google Earth tour of some of Matt’s favourite places around the world. I loved this.

Words come to life in Wordia

oscarpuppet

I love the idea of a dictionary created by many people, but Wordia is more than that. It’s a media dictionary created by people sharing their own videos. It’s people talking on video about a word that they’ve chosen. So it’s much more than a definition. Watch Oscar Puppet’s video defining the word ‘buncombe’ and you’ll see that it’s just as much about the person (or character) behind the chosen word – it’s a word definition with personality.

What else is Wordia?

It’s a community of people who, for one reason or another, care about a word enough to spend time making a short film to explain their chosen word.

wordiacommunity

You, too, could join this collection of people who make this media dictionary. This is what you have to do:

wordiainstructions

 Wordia is in beta and is far from comprehensive. There’s something good about a brilliant, new idea in the making, especially when anyone is invited to contribute.

I got sick of searching for words that weren’t there so I browsed using the ‘words’ tab. There’s a list of ‘best words’ and that’s how I came across the definition for ‘fermata’. Very entertaining.

Wordia has it all. Aside from the obligatory dictionary definitions on the page, the list of synonyms, you also get comments from people, making Wordia not so much a dictionary as a linguistic peopleonary.

There are many ideas for the English classroom here. Apart from the kids watching or making their own Wordia clip, you could discuss which videos work best and why, or how the video presentations could be improved, or you could get the kids to choose 5 words they didn’t previously know, or 5 words that sound the most ridiculous, or 5 legal words, 5 words associated with emotions, etc. You get my drift.

Have a look for yourselves and tell me what you think.

 

We connect students

[youtube=http://au.youtube.com/watch?v=e7oFzmr9_M4]

Jo McLeay has written an excellent post about connected, or networked, students, following her participation in the Connectivism 08 online course. She got this video from Wendy on Twitter. When I have time, I’d like to read both Jo’s and Wendy’s blogs post to post.

One paragraph that did stand out for me in Wendy’s blog was this one:

What can we learn from voices of resistance?
Resistance is good. Any new theory, or idea for that matter, needs vetting to fully develop and improve. Open-minded skepticism is healthy because it encourages creativity. There will be those who never change. However, our response to their arguments adds to the foundation on which we build a solid learning network. Learning may look different in a connective environment, but some traditional learning principles may be valid in certain circumstances. Resistance will help us evaluate those pedagogies and how they apply.

It makes sense to use resistance to test ourselves and grow stronger, instead of staying in gathering negative energy and creating enemies. And, of course, we gain strength from our communities.

So much to learn every day, and never enough time to do it. How do you keep up with all the excellent online courses and groups? How do you prevent superficial absorption of too many things because you feel like a kid in a lolly shop?

Blogs are NOT airy-fairy, soul-searching, self-indulgent

You know how you can’t let some things go?

Well, the back of my mind is often processing ways to demonstrate to people the value of reading and writing blogs. Recently I read an educator’s comments about introducing teachers to Web 2.0 practices, where he says he wouldn’t start with blogging, but provide teachers with examples of great blogs to read. Often people considering blogging will say that they don’t know what to blog about. It’s a bit like a student getting an open essay topic; it’s difficult because it’s undefined. That’s why reading blogs of people who share your interests is a good starting point for new bloggers or even sceptics. What I’m actually saying is – you don’t know what you’re missing – there are people out there who are really worth knowing, in all parts of the world and in many spheres of life and occupation.

John Connell linked to a series of blog networking interviews by Lilia Efimova in his post about passionate bloggers. People whose blogs centred around knowledge management topics were interviewed by Lilia about how they used blogs for networking. What’s particularly interesting is the variety of backgrounds represented. Lilia’s interviews covered the following:

  • professional background of a participant and characteristics of her network in KM field prior to blogging
  • changes in the network or networking practices because of blogging
  • uses of weblogs for developing, maintaining and activating relations as a starting point for articulating stages of the process at more granular level
  • place of the weblog in the ecosystem of networking tools (mainly focusing on what weblogs are good for and when they do not work).
  • important networking-related issues that haven’t been discussed

Here are some examples:

Brett Miller, a system engineer, says

 “I know more people in different areas of KM when I knew before.” Blogging helped him to reach people he wouldn’t be able to reach otherwise.

Dave Snowden is a founder and a Chief Scientific Officer of Cognitive Edge, a consulting company focusing on complexity, sense-making and narratives. He was formerly a director of IBM Institute of Knowledge Management and founder of the Cynefin Centre for organisational complexity. He has about 50 science bloggers in his RSS reader.

“They scan journals for me, so I don’t have myself … I’ve learnt to trust them over the years … it’s much better than summarisation surface”.

Euan Semple is an independent advisor for social computing for business (www.euansemple.com). He started blogging with his personal weblog The Obvious. He says:

“Previously I was subject to geographical constraints or social constraints or organisational constraints as of who I was likely to meet and suddenly with online networks I’ve been able to connect to […] the whole bunch of interesting and interested people whom I suddenly had an access to in a way in a normal life I would never ever had that chance. I could then establish relationships and (and again something I get very hot about) is that these are not pretend or unreal or virtual relationship, the real relationship, where you build up trust and affect and those powerful things that make people work together. Online.”

And also:

[Blogging] is “a collective pointing that helps to find stuff, once you have an established group of bloggers you read and trust. And their ability to find a good stuff to point to it, increases your signal to noise ratio on the web … Blogs do that better than other tools because of the context – you have to say why that is important, why are you pointing to something”.

Luis Suarez works at IBM as social software evangelist. He is located in Spain, but travels frequently for his work. He says:

Weblogs allow you to get beyond what people publish and to get as sense of what a person is like – to build a profile of a person as a person, not a business entity. Not how long you have been married, but how people write articles. When you write a blogpost you are giving yourself out as a person. The line between life and work is going to disappear.

The question of blogs developing trust is an interesting one. Luis says that trust is developed through a ‘willingness to expose what you don’t know’, and ‘a willingness to learn not yet finished thinking’ or ‘taking a radical position that invites criticism’, ‘being brave and bold’. He added that ‘there is something special about somebody coming to your place to leave their words there’.

Talking about changes in professional network as a result of blogging, Monica Andre, who worked in a research lab in Lisbon focusing on information behaviour and information management, says:

“I didn’t realise that linking and giving credits to someone’s work would extend my professional network extended very quickly.” She then told a story of being contacted by a municipality government from Spain who wanted her to speak at an event. “I didn’t know I was followed by them. If [people] leave comments, you have a clue, a footprint. It turns out that guy who was reading my blog suggested the government that I would be a good person to talk as a keynote speaker”. When she received an email she thought it was a joke, but they called to confirm.

These are only a few examples of what people had to say about blogging in Lilia’s interviews, just to whet your appetite. You can read all interview summaries on Lilia Efimova’s blog Mathemagenic.

It’s difficult to ‘convert’ people to reading and writing blogs and to online networking in general for a variety of reasons I’ve spoken about many times in previous posts. It may be as difficult as religious or political conversion. To those of you reading this post, I’m preaching to the converted, I know. So please tell me, have you had successful experiences in converting those resistant to blogging that you would like to share?