Richard Lehrer,Daniel Chazan's Designing Learning Environments for Developing Understanding PDF

By Richard Lehrer,Daniel Chazan

This quantity displays an appreciation of the interactive roles of material, instructor, scholar, and applied sciences in designing school rooms that advertise knowing of geometry and house. even if those parts of geometry schooling are at the same time constituted, the publication is equipped to spotlight, first, the editors' imaginative and prescient of a common geometry schooling; moment, the advance of pupil pondering in daily and school room contexts; and 3rd, the position of technologies.

Rather than seeking to highschool geometry because the locus--and all too usually, the apex--of geometric reasoning, the members to this quantity recommend that reasoning approximately area can and will be effectively built-in with other kinds of arithmetic, beginning on the straightforward point and carrying on with via highschool. Reintegrating spatial reasoning into the mathematical mainstream--indeed, putting it on the middle of K-12 arithmetic environments that advertise studying with understanding--will suggest elevated realization to difficulties in modeling, constitution, and layout and reinvigoration of conventional subject matters equivalent to degree, measurement, and shape. additional, the editors' place is that the instructing of geometry and spatial visualization at school shouldn't be compressed right into a characterization of Greek geometry, yet may still contain awareness to contributions to the math of house that constructed next to these of the Greeks.

This quantity is key interpreting for these concerned with arithmetic schooling in any respect degrees, together with collage college, researchers, and graduate students.

Show description

Read or Download Designing Learning Environments for Developing Understanding of Geometry and Space (Studies in Mathematical Thinking and Learning Series) PDF

Best geometry & topology books

Download e-book for kindle: History of Mathematics: A Supplement by Craig Smorynski

Normal textbooks, trying to conceal 3 thousand or so years of mathematical background, needs to inevitably oversimplify on the subject of every thing, the perform of which could scarcely advertise a serious method of the topic. To counter this, historical past of arithmetic deals deeper insurance of key choose issues, supplying scholars with fabric that may inspire extra serious considering.

Geometry Success in 20 Minutes a Day - download pdf or read online

No matter if you are new to geometry or simply trying to find a refresher, Geometry luck in 20 mins an afternoon bargains a 20-step lesson plan that offers fast and thorough guideline in sensible, serious talents. Stripped of pointless math jargon yet bursting with geometry necessities, Geometry luck in 20 mins a Day:• Covers all very important geometry abilities, from the elemental construction blocks of geometry to ratio, share, and similarity to trigonometry and past• presents enormous quantities of perform routines in try out structure• Applies geometry talents to real-world (and real-work) problemsGeometry luck in 20 mins an afternoon additionally includes:• A diagnostic pretest to aid pinpoint strengths and weaknesses• particular lessons—hundreds of perform routines for an important perform in fixing geometry difficulties• A valuable posttest to degree growth after the teachings• BONUS!

New PDF release: Origami Polyhedra Design

This publication unravels the secret of Geometry in Origami with a special technique: sixty four Polyhedra designs, every one made of a unmarried sq. sheet of paper, no cuts, no glue; every one polyhedron the biggest attainable from the beginning dimension of sq. and every having an inventive locking mechanism to carry its form.

Download e-book for kindle: Plain Plane Geometry by Amol Sasane

The ebook constitutes an basic path on aircraft Euclidean Geometry, pitched at pre-university or at complex highschool point. it's a concise ebook treating the topic axiomatically, yet because it is intended to be a primary creation to the topic, over the top rigour is shunned, making it beautiful to a more youthful viewers besides.

Additional resources for Designing Learning Environments for Developing Understanding of Geometry and Space (Studies in Mathematical Thinking and Learning Series)

Sample text

Download PDF sample

Rated 4.99 of 5 – based on 50 votes