Mathematical Problem Solving and New Information Technologies

This NATO volume discusses the implications of new information technologies and cognitive psychology for mathematical problem solving research and practice. It includes a discussion of problem solving and provides a view of developments in computerized learning environments.

Contenu
A Framework for Research on Problem-Solving Instruction.- Researching Problem Solving from the Inside.- Some Issues in the Assessment of Mathematical Problem Solving.- Assessment of Mathematical Modelling and Applications.- A Cognitive Perspective on Mathematics: Issues of Perception, Instruction, and Assessment.- The Crucial Role of Semantic Fields in the Development of Problem Solving Skills in the School Environment.- Cognitive Models in Geometry Learning.- Examinations of Situation-Based Reasoning and Sense-Making in Students' Interpretations of Solutions to a Mathematics Story Problem.- Aspects of Hypothetical Reasoning in Problem Solving.- Problem Solving, Mathematical Activity and Learning: The Place of Reflection and Cognitive Conflict.- Pre-Algebraic Problem Solving.- Can We Solve the Problem Solving Problem Without Posing the Problem Posing Problem?.- Problem Solving in Geometry: From Microworlds to Intelligent Computer Environments.- Task Variables in Statistical Problem Solving Using Computers.- The Computer as a Problem Solving Tool; It Gets a Job Done, but Is It Always Appropriate?.- Insights into Pupils' and Teachers' Activities in Pupil-Controlled Problem-Solving Situations: A Longitudinally Developing Use for Programming by All in a Primary School.- Cognitive Processes and Social Interactions in Mathematical Investigations.- Aspects of Computerized Learning Environments Which Support Problem Solving.- A General Model of Algebraic Problem Solving for the Design of Interactive Learning Environments.- Problem Solving: Its Assimilation to the Teacher's Perspective.- Computer Spreadsheet and Investigative Activities: A Case Study of an Innovative Experience.- Examining Effects of Heuristic Processes on the Problem-Solving Education of Preservice MathematicsTeachers.- Mathematics Problem Solving: Some Issues Related to Teacher Education, School Curriculum, and Instruction.