This case study aims to explore how male and female Indonesian mathematics teachers enact decision-making processes in teaching High-Order Thinking Skills (HOTS). Non-random purposive sampling technique was used to select the participants. The participants involved in this study were two Indonesian mathematics teachers who teach HOTS in their…

When mathematics teachers plan lessons, they interact with curriculum materials in various ways. In this paper, we draw on Brown's (2009) "Design Capacity for Enactment" framework to explore the practice of "adapting" curriculum materials in the case of a Singapore secondary mathematics teacher. Problems from the textbook used…

We explore students choice of using computer algebra systems (CAS) in problem-solving relative to their self-reported attitude towards learning mathematics with CAS. Our research design is a case study of nine Norwegian upper-secondary mathematics students with a wide range of attitude towards CAS. Our findings on routine problems indicate that…

This paper reports the factors that three Year 11 mathematics students identified as influencing their choice to use a Computer Algebra System (CAS) for solving selected problems, some of which were expected to be outside their pen-and-paper (p&p) range. In individual interviews, the students were presented with eleven algebra problems and…

Twenty middle grades students were interviewed to gain insights into their reasoning about problem-solving strategies using a Problem Solving Justification Scheme as our theoretical lens and the basis for our analysis. The scheme was modified from the work of Harel and Sowder (1998) making it more broadly applicable and accounting for research…

In this article we report the influence of contextual factors on mathematics and science teachers' reasoning in risk-based decision-making. We examine previous research that presents judgments of risk as being subjectively influenced by contextual factors and other research that explores the role of context in mathematical problem-solving. Our own…

This theoretical paper explores the decision-making process involved in modelling and mathematizing situations during problem solving. Specifically, it focuses on the authority behind these choices (i.e., what or who determines the chosen mathematical models). We show that different types of situations involve different sources of authority,…

Discusses a problem involving probability and uncertainty that students can investigate experimentally or theoretically and transforms the problem to a two-player game so that students can be introduced to some fundamental concepts of decision making. Includes computer programs used to analyze the problems. (MKR)

Two pilot studies investigated the effects of using Instructional Math Play (IMP) Kits, pamphlets with which individuals may play the mathematical game EQUATIONS against a computer program. Twenty-nine junior high students in a high-ability mathematics class completed varying numbers of the kits in five 48-minute sessions during a two-week period;…

A workshop is described in which students design various shapes from the basic rectangle. The polypopagon is used as an example of something that can be made out of simple, everyday materials yet be related to the greater, integrated enterprise of discovery and invention. Directions for making polypopagons are included. (KR)

States the objectives and implementation procedures for this teacher-directed or individualized learning discovery unit. Describes the value of the program and additional activities that can be included. Shows a copy of the program. (RT)

This review of research generates principles for the design of instructional programs that foster critical-thinking dispositions. The dispositional aspect of critical thinking may be considered part of attitudinal memory, readily activated if sufficiently strong. We describe evidence suggesting that ill-structured problem-solving can provide…

Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…

This Teacher Resource Manual (TRM) is designed to help teachers implement the Mathematics 20, 23, and 24 courses. The TRM is a support document that provides helpful information to classroom teachers. An overview of the Course of Studies for Mathematics 20/23 and 24 is provided at the beginning of each course section in the TRM. The overview…

The Mathematics 16 program provides for the development of essential concepts, skills, and attitudes required for effective computation and problem solving. The program is activity-based, and addresses the need for students to be able to transfer and apply specific mathematical concepts and skills to more generalized situations in everyday life…