This paper outlines a seven-step process for developing problem-solving tasks informed by cognitive load theory. Through an example of a task developed for Year 2 students, we show how this approach can be used to produce challenging mathematical tasks that aim to optimise cognitive load for each student.

The objective of this intervention guide is to prepare each student to be mathematically literate to survive in a world that is changing and growing as technological advances are creating new applications of geometry, measurement, statistics, and counting procedures. It accomplishes this goal by providing an intervention setting that includes…

These materials are intended to provide meaningful mathematical experiences for pre-algebra students. These experiences emphasize the development of computational skills, mathematical concepts, and problem-solving techniques. This bulletin may be used as the basis for the first term of a one-year course. The complete course is divided into 12…

These materials are intended to provide meaningful mathematical experiences for pre-algebra students. These experiences emphasize the development of computational skills, mathematical concepts, and problem-solving techniques. This bulletin may be used as the basis for the second term of a one-year course, or for the second year of a two-year…

This document focuses on Core Algebra, a course offered in the Hawaii State Department of Education's "Mathematics Program Guide." This algebra option is designed to be less theoretical and more application-oriented than Algebra IA and IB. The text opens with a list of twenty minimum learner objectives of the course. The next section presents an…

This text is an example of a Selected Mathematics Applications (Level A) course, developed for the Hawaii State Department of Education. There are two basic parts to this document. Section one discusses the approach used to develop this course, and provides a brief description of current alternative materials and resources. No materials were found…

This material describes two games, Minicomputer Tug-of-War and Minicomputer Golf. The Papy Minicomputer derives its name from George Papy, who invented and introduced it in the 1950's. The Minicomputer is seen as an abacus with the flavor of a computer in its schematic representation of numbers. Its manner of representation combines decimal…

This guide provides material for teaching problems with rate and ratio calculations. There has been a traditional and worsening shortfall of student performance on rate and ratio problems which do not apply to other components of the mathematics program. The major problems found with traditional curriculum approaches are: (1) rate and ratio…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part two of the first-year course, designed for ninth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in this…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part one of the second-year course, designed for 10th grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 61 lessons in this…

This book is an updated and enhanced version of a breakthrough resource originally entitled "Springboards to Technology." It shows how technology can be presented in every elementary school classroom, with the aim of linking all curriculum areas in a natural and cohesive manner. The design and technology activities in this book serve as…

This course, offered in the Option Y sequence of the high school mathematics program described in the Department of Education's Mathematics Program Guide, is designed to be less theoretical and more applications oriented than Algebra IA and IB. There are ten learner objectives for this course, which is designed along with Core Algebra to fulfill…

A Technowalk is a walk through the community to explore the technology found there, looking for common materials or particular kinds of structures. Technowalks involve the investigating, designing, testing, trouble-shooting, and problem-solving that the technological process provides. This book provides suggestions for 10 Technowalk activities for…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part one of the first-year course, designed for ninth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in this…

This curriculum guide contains six units designed for use by counselors in elementary classrooms to teach children skills in conflict management and to model appropriate child management skills for classroom teachers. The units are designed to be used in kindergarten through grade 5. Each unit contains six sections: (1) a summary stating lessons,…