Main Content
Lesson 1: Thinking About Mathematical Thinking
- First Page
- Previous Page
- 4
- 5
- 6
- Next Page
- Last Page
Activities
Lesson 1 Discussion
Prompt
- Consider the problem 500 - 99 = ______. How might a student use procedural understanding to solve that problem? How might a student use conceptual understanding to solve that problem?
- What can you claim about the relationship between teaching tricks and mathematical thinking? (Aim for a solid paragraph's worth of thinking on this). Make a claim and provide evidence by drawing on your own experiences in mathematics classrooms and on the readings and course commentary so far.
Review the expectations for a discussion forum as stated in the course syllabus.
Post your response to the Lesson 1 Discussion Forum on our course blog.
Short Assignment (SA) 1: Concept Map on Mathematical Thinking
In this assignment, you will create a one-page graphic synthesizing the commentary and readings on the nature of mathematical thinking. Your concept map should be a chart, table, word-bubble map, or some other graphical representation of the relationships among the ideas and terms you encountered this lesson.
Think of this assignment as an opportunity to wrap your brain around some pretty big ideas. You will be asked to revisit your concept map at the end of the course, so, although you will submit and receive a grade on this assignment now, it’s really more of a "living document," one that you should continue to think about and maybe even use to organize notes as we progress through the course.
See the Creating a Concept Map video for a quick introduction to concept maps. You can compose your map using a tool of your choice. It can be as simple as a drawing on a PowerPoint slide or in a Word document, or you can use online tools, such as the one described in the video tutorial (in which case you would submit a link to the drop box so that your instructor can view your concept map). Choose the tool that makes the most sense to you—your grade will not be based on the sophistication of the tool itself, but rather on the depth of your engagement with the ideas.
- First Page
- Previous Page
- 4
- 5
- 6
- Next Page
- Last Page