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Douglas H. Clements; Julie Sarama – Routledge, Taylor & Francis Group, 2014
In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child's level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children's mathematical reasoning,…
Descriptors: Young Children, Early Childhood Education, Numeracy, Mathematics Education

Hadar, N.; Hadass, R. – International Journal of Mathematical Education in Science and Technology, 1981
A guided discovery lesson on the Law of Sines was analyzed for teaching moves. After breaking down the lessons in a transcription, the frequency of certain moves was listed and then categorized. This report is designed to serve as a guide to others who wish to make similar studies. (MP)
Descriptors: Discovery Learning, Educational Research, Geometric Concepts, Mathematics Education
Bielefeld Univ. (West Germany). Inst. for Didactics in Mathematics. – 1979
Four papers are presented which view research in mathematics education from different perspectives. The titles are: (1) Review of Recent Research Related to the Concepts of Fractions and of Ratio; (2) Some Trends in Research and the Acquisition and Use of Space and Geometry Concepts; (3) A Portrayal of Traditional Teachers of Mathematics in…
Descriptors: Educational Research, Elementary Secondary Education, Fractions, Geometric Concepts
Morris, Robert, Ed. – 1986
This is the fifth volume in a series designed to improve mathematics instruction by providing resource materials for those responsible for mathematics teaching. Focused on geometry in schools, it presents a panorama of current practices around the world and suggests future trends. The 14 chapters consider: "Developments in Geometry Teaching in…
Descriptors: Educational Practices, Elementary Secondary Education, Geometric Concepts, Geometry
Curcio, Frances R., Ed. – 1987
This book is dedicated to George Polya, who focused on problem solving as the means for teaching and learning mathematics. The first chapter is a reprint of his article "On Learning, Teaching, and Learning Teaching." Then, G. L. Alexanderson paints a portrait of "George Polya, Teacher," including some anecdotes that exemplify…
Descriptors: Cognitive Processes, Educational Philosophy, Elementary Secondary Education, Geometric Concepts

Hirschhorn, Daniel B. – Mathematics Teacher, 1990
Described is a theorem which is generally not present in most high school geometry textbooks. Presented are two proofs and two cases which illustrate the use of the SSA theorem. (CW)
Descriptors: Congruence (Mathematics), Geometric Concepts, Geometry, Mathematical Applications
Louisiana State Dept. of Education, Baton Rouge. Div. of Academic Programs. – 1980
This guide is designed to be another segment of the total educational program established by state administration and mandated by the Louisiana Legislature in both the accountability and assessment and the competency-based education laws. This document outlines a course of instruction based on thirty weeks of school, which provides six weeks of…
Descriptors: Cognitive Objectives, Curriculum Development, Curriculum Guides, Educational Objectives