Identifies requisite math skills for a microeconomics course, offering samples of supply curves, demand curves, equilibrium prices, elasticity, and complex graph problems. Recommends developmental mathematics competencies, including problem solving, reasoning, connections, communication, number and operation sense, algebra, relationships,…

Presents a rationale for including applied functions and graphs in developmental mathematics courses, arguing that the ability to construct, interpret, and represent functional relationships is important in every discipline. Discusses student difficulties with abstract and applied functions and curricular and instructional implications. (DMM)

Points out that successful mathematical performance depends not only on declarative and procedural content knowledge, but also upon mathematical thinking skills such as problem-schema knowledge, decision-making skills, and metacognitive knowledge. Argues that the growing need for remediation should influence schools' traditional overemphasis on…

Stresses the importance of metacognitive skills (knowledge of one's own cognitive processes) in mathematical performance. Discusses the differences between metacognitive thinking and metacognitive experiences and the ways they each influence performance. Describes how accurate metacognition improves students' mathematical performance, and outlines…

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 issues related to the subject/topic content of developmental mathematics programs. Argues that such programs should teach as much preprobability and statistics as they do precalculus, and that less time be spent by students simplifying and operating with rational algebraic expressions and other process-oriented mathematical equations.…

Describes two cases where an elementary school teacher's behavior influenced a student to either pursue or avoid math. Reviews the tenets of attribution theory, and theories regarding autonomous learning behaviors in relation to these cases. Discusses ways teachers can help students develop beneficial and useful attributions about mathematics…

Discusses the ways in which student and teacher perceptions of mathematics influence mathematics instruction in the classroom. Indicates that the two major views of mathematics are number-orientation and meaning-orientation. Suggests that developmental educators should teach their students to approach mathematics from a meaning-oriented…