Metacognition plays an important role in numerous aspects of higher educational learning strategies. When properly integrated in the educational system, schools are better equipped to build more efficient and successful learning strategies for students in higher education. "Metacognition and Successful Learning Strategies in Higher…

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).…

Three community colleges--El Paso Community College, Bunker Hill Community College, and Patrick Henry Community College--incorporated technology into the curriculum to support student progress in mathematics through developmental education. Each college took its own path: El Paso developed a self-accelerated emporium-style computer lab, Patrick…

Describes first grade students' mathematical investigation of the number of spots on a cheetah. The exploration of counting and estimation strategies that grew from the investigation gives evidence that mathematicians come in all ages. (ASK)

Although it is difficult to predict which mathematical ideas will be most important to the citizens of the 21st century, most mathematics educators agree that problem solving will become an even more important skill. This booklet is designed to provide teachers with ideas on helping students learn to: (1) use problem solving thinking skills; (2)…

Presents two methods for solving equations. An asymmetric approach works backward from a number by reversing operations performed on a variable. A symmetric approach views the equation as a scale and performs inverse operations on both sides of the balance to solve for the variable. (MDH)

Discussed are several common aspects of teaching functions and statistics including graphing relations, exploring relations, transforming relations, and modeling situations. Examples of each are provided. (CW)

Describes the benchmark and decomposition-recomposition estimation strategies and presents five techniques to develop students' estimation ability. Suggests situations involving quantities of candy and popcorn in which the teacher can model those strategies for the students. (MDH)

The teaching of negative numbers poses problems at the school level. A historical account of the intellectual difficulties in the evolution of negative numbers and a method of viewing negative numbers as an extension of the number system to help overcome these difficulties are presented. (MDH)

Reviews an alternative patterning approach and highlights the difficulties it can present when students lack the requisite skills and knowledge of processes. Describes how this approach can be used to introduce elementary algebraic ideas and offers recommendations for establishing these important understandings. (ASK)

Presents a constructivist view of mathematics, mathematics teaching, and mathematics achievement, and differentiates this view as an alternative to the typical traditional perspective of these terms. Discusses the roots of this approach in contemporary information-processing psychology. (TW)

Discusses how students construct their own understanding of mathematics as they discover and then learn it in class. Presents Krystal's method to subtract mixed numbers that her peers adopt and name for her. (ASK)

For the purpose of promoting international cooperation in mathematics, physics, and chemistry teaching research, this first yearbook of the Finnish Association of Mathematics and Science Education Research contains articles of recent research on mathematics teaching. The contents consist of five articles in English, two in German, and one thesis…

Outlines two mathematics teaching strategies: the exploration/discovery approach to mathematical concepts, and the use of pair group problem-solving. These require teachers to shift from the traditional role of lecture/demonstrator to a role demanding new skills in planning and facilitating student work. Includes 10 references. (MD)

Discussed are some applications of mathematics involved in actuarial science which may be taught in high school mathematics classes. Described are the importance of approximate solutions, multiple answers, and selling the solution to a problem. (CW)