This journal article discusses Advanced Mathematical Thinking (AMT) and how to enhance it. AMT is ability in representing, abstracting, creative thinking, and mathematical proving. The importance of AMT ability development in accord with government expectation who realize about the importance of mathematical competency mastery for student's life.…

Student understanding of biological representations has not been well studied. Yet, we know that to be efficient problem solvers in evolutionary biology and systematics, college students must develop expertise in thinking with a particular type of representation, phylogenetic trees. The purpose of this study was to understand how undergraduates…

In this paper we focus on some of the findings of the science education research community in the area of representations and problem solving. Problem solving depends on the construction and manipulation of mental models (internal representations) in the mind. A large knowledge base (declarative, procedural, strategic, situational, and schematic…

Argues that students are conditioned by years of multiple-choice testing to use only simple recall and view knowledge as an uncataloged museum full of independent facts that are collected, recited, and left to gather dust. (DDR)

Describes a study that investigates the relationship between secondary students' written responses and the mathematical and cognitive processing used when solving a complex problem. Contains 40 references. (DDR)

Examines the impact of one unit of a curriculum module for sixth grade from the Model-based Analysis and Reasoning in Science (MARS) project. Provides an overview of this unit on mass and discusses three aspects of the evaluation of the unit. Contains 22 references. (DDR)

This book focuses on three particular context-specific accounts of scientific thinking. The first section of the book presents research focused on extending knowledge of the fundamental components of scientific thinking. In the second section, research is presented that is focused primarily on how to build a structure for scientific thinking in…

This paper examines the novel problem solving actions of a pair of college students. The analysis highlights the role of the solvers' inferential processes including abductions, deductions, and inductions as structuring resources that contribute to both their understanding of the problems they face and the emerging novelty that constitutes their…

Lends support to the idea that the quality of the cases used in problem-based learning affects the nature of student learning in this context. Outlines seven principles adapted from research on learning and cognition that can help guide case design. Contains 22 references. (DDR)