This paper discusses the theories of conceptual change and how they explain the difficulties in mathematics learning, especially in enlarging the number concept. Two studies are presented, one of which examines the research questions: What is the role of prior knowledge in students' answers to questions about the density of rational and real…

The ability to use algebra in describing and analyzing real-world situations is becoming a basic skill for all students. The main focus of this book is on patterns, functions, and relationships. Information and ideas on how algebraic thinking can be developed in the years leading to a formal algebra course are included. K-8 teachers are offered a…

This book features a set of problems assembled to reflect the criteria of the mathematics portion of the North Carolina High School Comprehensive Test. The problems are not necessarily suited to timed situations but rather are intended for classroom use by teachers to review high school mathematics and build upon concepts and skills developed in…

This paper discusses the question, what kinds of learning and new knowledge about content and children's thinking can an innovative curriculum program motivate? Discussion is restricted to whole number operations and how changing knowledge, beliefs, and practice as both an individual and collective problem might be conceived. To the extent that…

This paper describes a workshop that aims to change adult students' attitudes toward early number work in order to give them a different perspective and help them make mathematics their own so that they will no longer be looking for the teacher's approval to tell them whether what they have done is correct. (ASK)

A strategy game is presented that teachers (1) logical reasoning; (2) how to formulate a clear verbal argument that explains your reasoning; (3) basic mathematical skills and (4) computational skills. The game is adaptable for many levels of instruction. (JP)

Four ideas are presented, each a variation of the tic-tac-toe game. Recognizing three addends is the goal of the primary level game; experiences with basic facts and fractions are objectives for upper levels. Each worksheet includes objectives, directions, and comments. (LS)

Presented are several methods of introducing nondecimal numeration systems to elementary grade students. Various activities for grouping and/or visual displays are used. Games which incorporate nondecimal grouping ideas are also presented. (JP)

One article specifies the materials needed and the rules for a card game called Integer Football; a second article describes a technique for teaching measurement conversions through using nonsense units. (DT)

A brief overview of the history of elementary and secondary mathematics education in England is given; the topics of sets, vector spaces, computers, statistics, and geometry in the modern mathematics curriculum are discussed. (DT)