TASK 3: Part 2 Open Problem Solving Activities Here is a selection of problems that are less structured than usual and could, for example, be used to encourage mathematical thinking as well as developing mathematical techniques or concepts that may be new to the learners. Please note that we have ordered the problems roughly in terms of suitability for Key Stages BUT many of the problems could be used at a variety of ages. The very last question is based on Fermi estimation techniques, which maybe a new topic for many of you (see * below). Also note that: • It is important to use a problem that you have not tackled before and/or are not familiar with; • Tackle the problem, noting down your working and also that of colleagues that you are collaborating with; • Now plan your research lesson that incorporates one of these problems (or similar) with your expectations of what your learners will produce and the misconceptions or misunderstandings that might arise; • When you give the lesson, pay particular attention to what actually happens and how well your anticipated solutions or strategies are met. Again, this is best achieved working with colleagues in lesson study mode, getting their feedback from observations made on the lesson and discussion afterwards in the review. In summary, do not deliver an “OfSTED” lesson but take risks, innovate and try out new ideas and strategies but at all stages, review and evaluate progress made or issues that arise. The problems are provided in two formats, pdf (from which you can cut and paste any problem that you want to use) and WORD (from which you will be able to edit the words and questions posed, etc). * See for example: http://en.wikipedia.org/wiki/Fermi_problem http://lesswrong.com/lw/h5e/fermi_estimates/
11
Embed
TASK 3: Part 2 Open Problem Solving Activitiesszalonta.hu/mm/resources/task3/Task3-Problems.pdf · 2015-05-19 · TASK 3: Part 2 Open Problem Solving Activities Here is a selection
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.