Download e-book for iPad: Mathematics education: a critical introduction by Mark Wolfmeyer

By Mark Wolfmeyer

Mathematics Education offers either undergraduates and starting-graduate scholars in schooling an creation to the connections that exist among arithmetic and a severe orientation to schooling. This primer indicates how options like race, category, gender, and language have genuine results within the arithmetic lecture room, and prepares present and destiny arithmetic lecturers with a extra serious math schooling that raises accessibility for all scholars. via refocusing math studying in the direction of the targets of democracy and social and environmental crises, the ebook additionally introduces readers to broader modern university coverage and reform debates and struggles.

Mark Wolfmeyer exhibits destiny and present academics how severe arithmetic schooling should be placed into perform with concrete thoughts and examples in either formal and casual academic settings. With possibilities for readers to interact in deeper dialogue via instructed actions, Mathematics Education’s pedagogical positive factors include:

  • Study Questions for lecturers and Students
  • Text containers with Examples of serious schooling in perform
  • Annotated record of additional Readings
  • Glossary

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Additional info for Mathematics education: a critical introduction

Example text

Because the equation has only xs and ys and I€need to graph it, this means I€will need an x-y plane. Draws a coordinate plane on the board. Now, I€need to think about what this will look like. Pause. I€know that sometimes when I€graph equations they turn out to be lines and other times they turn out to be curves. Pause. I’m not quite sure what this will look like because I€haven’t done enough of these to know a pattern yet. But I€do know that graphing means plotting the points that “work” (uses air quotes) for the equation.

S. S. teachers did not show glaring weaknesses in their calculation of perimeter and area of rectangles. S. teachers and their Chinese counterparts. S. teachers (13%) conducted mathematical investigations on their own and only one reached a correct answer. On the other hand, 66 Chinese teachers (92%) conducted mathematical investigations and 44 (62%) reached a correct answer. S. teachers from a successful mathematical investigation—their lack of computational proficiency and their layperson-like attitude toward mathematics.

Equally important, the hook needs to engage the students and connect the teacher to the students. Establishing a community will not only settle everyone for the day’s learning but pique curiosity as well. Question posing is particularly helpful for doing this. Here are two hook examples for teaching a lesson in a precalculus or calculus class on limits. The first hook would ask students to simplify five rational expres2 sions such as x + 4x + 3 . Here, the students are required to factor trinomials and x +1 reduce the fraction by canceling common factors in the numerator and denominator.

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