This guide is a revised and updated edition of "Making It Count." This version contains much of the information from the earlier publication but also includes strategies for using project-based learning and Web-based instructional programs to support the development of mathematics proficiency for youth in short-term juvenile correctional…

This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…

This guide is designed to support the development of mathematics proficiency for youth in short-term juvenile correctional facilities. Mathematics proficiency includes mastery and fluency in foundational numeracy; an understanding of complex, grade-appropriate concepts and procedures; and application of those competencies to solve relevant,…

Focuses on solutions to a single problem using both induction and deduction by utilizing a TI-82 graphing calculator to illustrate symbolic, numerical, and graphical approaches to the problem. (ASK)

This book is a year-long program of daily exercises in problem solving for 2nd and 3rd grade students that presents 144 lessons, each with seven problems. The problems cover number sense, computation, measurements, geometry, problem solving, and patterns. The material is presented in a sequential fashion with concepts repeated and expanded, and…

Presents solutions for a problem concerning doubling a recipe from a previous article on number concepts in the October 1997 issue. (ASK)

Presents responses to a problem appearing in the December, 1998 issue on the concept of determining all possibilities for colored and numbered wristbands for students. (ASK)

This paper describes research into the framework of Computer Analysis Relationship (CAR) and its methodology together with software such as Scientific Notebook in a teaching and learning problem-solving environment to support student investigation as well as to enhance student logical thinking. CAR aims to motivate students how to subdivide a…

Presents Cevian geometry problems (involving a segment that joins a triangle's vertex to a non-vertex point on opposite side) that illustrate how to implement methods for developing flexible strategies of problem solving, finding multiple representations, and making connections to other areas of mathematics and the real world. (ASK)

Argues that the way in which students solve a particular problem can be analyzed to gain insight into how students think about the mathematics involved. Discusses the use of knowledge gained from listening to student conversations about their strategies to orchestrate classroom discussions. (ASK)

Describes how elementary school teachers demonstrated for themselves and their students how using simple drawings and visualization can improve problem-solving ability. (ASK)

Presents a method to make precalculus college freshmen accountable to the class for doing at least some of their assigned homework problems by making each student an expert on one or more of the assignments. (ASK)

This paper consists of a learning unit for college algebra in which the problem presents three different payment plans for a tuition plan to pay for college expenses. The details of each payment plan are presented, each followed by several exercises so that comparisons of the results can be made across payment plans. (MM)

Presents an educational game on probability that can be the starting point for an open-ended statistical project. (ASK)

Discusses possible solutions for the problem of determining how many sandwiches were made with specific ingredients that appeared in the March 1998 issue of this journal. (ASK)