This article describes the pitfalls of using key words to support students when problem solving, and provides an alternative way (quantitative analysis) to support students' sense-making. (Contains 1 table and 2 figures.)

This article details a variety of activities that can be used with middle school students to investigate the size of the number 1,000,000. The activities focus on real-life applications of mathematical proportions and helps students to understand the magnitude of large numbers. (Contains 8 figures.)

This article describes ways in which students develop schemas as they generalize and formalize patterns when solving related algebraic problems that involve size, shape, growth, and change. (Contains 7 figures and 3 tables.)

Worthwhile mathematical tasks not only prompt students to learn mathematics, they also prompt teachers to learn and improve their teaching in their own mathematics classrooms. When teachers use worthwhile tasks, they have to learn "what aspects of a task to highlight, how to organize and orchestrate the work of the students, what questions to ask…

Strategy games can provide an interesting context for students to solve problems in an elementary mathematics classroom. The games are easy to learn, but finding a winning strategy exercises students to develop different methods to win the game.

This article describes the Australian Informatics Competition (AIC), a non-programming competition aimed at identifying students with potential in programming and algorithmic design. It is the first step in identifying students to represent Australia at the International Olympiad in Informatics. The main aim of the AIC is to increase awareness of…

Emphasis on problem solving and mathematical modeling has gained considerable attention in the last few years. Connecting mathematics to other subjects and to the real world outside the classroom has received increased attention in mathematics programs. This article describes an application of simple differential equations in the field of…

College students' strategies to discriminate relevant from irrelevant information in algebra story problems were identified and compared to strategies used by younger students in previous studies. College students identified numbers relevant for solution (Experiment 1) or provided verbal reports as they computed answers (Experiment 2). Type of…

An alternating treatments design was used to compare the effects of baseline, interspersed brief problems, and interspersed brief problems plus token reinforcement on students' endurance while completing math worksheets. By pairing the completion of brief problems with token reinforcement, the role of problem completion as a conditioned reinforcer…

The Integrated Occupation Mathematics 26 Program is an optional program designed to allow students in Alberta, Canada to meet the credit requirements of the Certificate of Achievement and facilitate transfer to the General High School Diploma Program. This Teacher Resource Manual is provided to assist classroom teachers to implement the…

Numeracy develops and evolves through experiences that require students to creatively and flexibly use mathematics to solve complex problems that often involve competing constraints. Making room in the curriculum for these types of experiences is a challenge in secondary schools because of the pressures of a tightly packed mathematics curriculum;…

This collection of 11 applied algebra curriculum modules can be used independently as supplemental modules for an existing algebra curriculum. They represent diverse curriculum styles that should stimulate the teacher's creativity to adapt them to other algebra concepts. The selected topics have been determined to be those most needed by students…

A study assessed third- through sixth-grade children's comprehension of selected problem-solving segments from SQUARE ONE TV. A sample of 140 children, equally distributed among the four grades, with 49% girls and 51% boys, and an ethnic composition of 56% White, 22% Black, 19% Hispanic, and 3% other, and 3% other, were randomly assigned to…

The effect on performance of different formats for typical mathematics story problems was studied, along with the relationship of certain learner variables. More than 1200 children in grades 3-8, including over 220 learning-disabled students, were tested and/or interviewed. Story problems were in the usual format found in textbooks, an abbreviated…

This practicum describes a computer assisted instructional (CAI) program written in the computer language BASIC. This computer program was designed to help 11th and 12th grade algebra students (n=15) better understand the concept of linear equations. The program has three sections: the first is a tutorial, the second section gives the student the…