Mathematics holds a relevant and unique place in the school curriculum as it is important for a better living of the individual. But, it is known that most of the students are considering mathematics as difficult. This study examines the difficulties perceived by high school students and teachers in learning and teaching mathematics. Two hundred…

This article presents an interview with Dr. Paul Nolting, a national expert in assessing individual math learning problems, developing effective student learning strategies, and assessing institutional variables that affect math success. Since his dissertation in 1986 on improving math success with study skills Dr. Nolting has consulted with over…

This longitudinal study was designed to (a) examine changes in children's deliberate memory across the 1st grade; (b) characterize the memory-relevant aspects of their classrooms; and (c) explore linkages between the children's performance and the language their teachers use in instruction. To explore contextual factors that may facilitate the…

This paper proposes that there are some students who understand mathematics but just can't remember the rules to use it, and others who have accurate rote memory but can't apply the facts they know or do not understand the concepts behind them. The guided discovery approach to teaching mathematics is introduced. This approach promotes a system of…

The author's secondary school mathematics students have often reported to her that quadratic relations are one of the most conceptually challenging aspects of the high school curriculum. From her own classroom experiences there seemed to be several aspects to the students' challenges. Many students, even in their early secondary education, have…

Presents two teaching ideas for mathematics instruction. The first employs "mind maps" as a method to help students learn, record, and recall mathematical information. Provides examples for solving quadratic equations and complex numbers. The second discusses two ways to find the average speed during a trip employing differing constant…

In the past 15 years, educators and education researchers have increasingly emphasized the importance of cognitive processes for effective education in mathematics and science. This may be characterized as a shift away from the epistemology which treats knowledge as a compilation and categorization of facts toward the notion that knowledge is the…

Presents a diagnostic teaching unit in general science designed to identify effective learning strategies for seventh-grade students with learning disabilities or behavior disorders. The unit is intended to identify effective strategies for students in reading comprehension, mathematics problem solving, and memory. Detailed instructions for four…

The ways in which teachers' cognitions about classroom practice vary with the developmental level of the children they teach and the subject matter taught were studied through interviews with 40 teachers. Participants were 8 teachers of kindergarten and grade 1, 10 teachers of grade 2, 11 teachers of grade 3, and 11 teachers of grades 4, 5, and 6.…

SpringBoard is a comprehensive instructional program in English language arts and mathematics that reflects powerful, research-based understandings about how people learn. This report presents a model of learning based on cognitive science with particular attention to the role of memory and language. The instructional framework of strategic…