Proportionality can be considered among the most important mathematical notions in the middle school math curriculum (grades 5 to 8). It is the capstone of elementary arithmetic, number, and measurement concepts, and at the same time one of the most elementary understandings one needs for more advanced mathematics. Understanding proportionality is…

The National Center for Leadership in Intensive Intervention (NCLII), a consortium funded by the Office of Special Education Programs (OSEP), prepares special education leaders to become experts in research on intensive intervention for students with disabilities who have persistent and severe academic (e.g., reading and math) and behavioral…

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…

The authors examined the effectiveness of strategy instruction taught by general educators in mixed-ability classrooms. Specifically, the authors compared the mathematical word problem-solving performance and computational skills of students who received schema-based instruction (SBI) with students who received general strategy instruction (GSI).…

Researchers suggest that teachers should place greater emphasis on the qualitative understanding of the procedures involved in mathematical problem-solving. Administrators can advise teachers to encourage students and show them how to be more thorough in analyzing problems. (MLF)

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,…

Teachers can help students with learning problems in solving arithmetic word problems by following the principles commonly used in the design of Direct Instruction curricula: teach rules and strategies rather than rote memorization; sequence examples and skills carefully; and introduce and review skills cumulatively. (CB)

This book offers games and mathematics activities using a hands-on approach for middle school students and features games, puzzles, experiments, and projects. Contents include: (1) "Boxed In!"; (2) "Oddball"; (3) "Pig"; (4) "Madagascar Solitaire"; (5) "Fantastic Four"; (6) "Eratosthenes' Sieve"; (7) "Hopping Hundred"; (8) "Tic-Tac-Toe Times"; (9)…

Presents an activity to assess primary students' understanding of ordinal numbers and ability to apply those skills to new problem-solving situations. The activity helps teachers view students' reasoning strategies. Students have to figure out the total number of dots on a strip of paper when they can only see a few but are given a clue that a…

This monograph was developed with the intention of addressing the concerns of high school mathematics teachers in Alberta (Canada) who want to base their programs on problem solving but have questions about effective and efficient ways to do so. Considered are the most basic philosophical questions, and a framework is provided to use in solving…

Problems involving record-setting events are presented, with comments on both the mathematics skills and the reading skills that are involved with each. (MNS)

Presented are five scenarios of how division might be introduced to a class of third graders using experiences with the concept, process, and symbolism of division rather than algorithms. Instruction that makes problem solving the emphasis of students' learning is described. (KR)

Discusses reasons for the lack of mathematical problem-solving skills among students at all levels. Examines the complex cognitive processes required for problem solving. Reviews theories about the problem-solving process and lists the cognitive skills and steps necessary for successful mathematical problem solving. (PAA)

Discusses the implementation of the National Council of Teachers of Mathematics standards, especially problem solving, into the elementary mathematics curriculum. Presents three examples: measurement and seriation at the primary level; place value for intermediate level; and spatial reasoning and logical thinking at the intermediate level. (YP)