Mathematical Problem Solving and New Information Technologies
Subtitle: Research in Contexts of Practice
By: edited by João Pedro Ponte, João Filipe Matos, José Manuel Matos, Domingos Fernandes
Contributors: Matos, João Filipe, editor; Matos, José Manuel, editor; Fernandes, Domingos, editor
Series: NATO ASI Series, Series F: Computer and Systems Sciences -- 89; NATO ASI series -- 89.
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 1992
Language: eng
Format: [electronic resource] :
Number of pages: 350
ISBN-13: 9783642581427; 9783642634833
Subjects: Mathematics; Artificial intelligence
Description: This book discusses the implications of new information technologies and cognitive psychology for mathematical problem solving research and practice.Based on a NATO Advanced Research Workshop held in Portugal in 1991, it offers both empirical research and theoretical papers. The book includes a thorough discussion on the nature and purpose of problem solving as a mathematical activity, providing a view of the importance of complementary activities such as investigations, conjecturing and problem posing. It focuses on cognitive processes, instruction, classroom processes, and the teacher's role, and contains new assessment and teacher education proposals. At a time of important reform movements, when emphasis is put on the role of new information technologies, the book provides an up-to-date view of the developmental work being done on computerized learning environments in the discipline of mathematics, as well as on the efforts to introduce them in educational practice.
Table of contents: title: A Framework for Research on Problem-Solving Instruction; title: Researching Problem Solving from the Inside; title: Some Issues in the Assessment of Mathematical Problem Solving; title: Assessment of Mathematical Modelling and Applications; title: A Cognitive Perspective on Mathematics: Issues of Perception, Instruction, and Assessment; title: The Crucial Role of Semantic Fields in the Development of Problem Solving Skills in the School Environment; title: Cognitive Models in Geometry Learning; title: Examinations of Situation-Based Reasoning and Sense-Making in Students' Interpretations of Solutions to a Mathematics Story Problem; title: Aspects of Hypothetical Reasoning in Problem Solving; title: Problem Solving, Mathematical Activity and Learning: The Place of Reflection and Cognitive Conflict; title: Pre-Algebraic Problem Solving; title: Can We Solve the Problem Solving Problem Without Posing the Problem Posing Problem?; title: Problem Solving in Geometry: From Microworlds to Intelligent Computer Environments; title: Task Variables in Statistical Problem Solving Using Computers; title: The Computer as a Problem Solving Tool; It Gets a Job Done, but Is It Always Appropriate?; title: Insights into Pupils' and Teachers' Activities in Pupil-Controlled Problem-Solving Situations: A Longitudinally Developing Use for Programming by All in a Primary School; title: Cognitive Processes and Social Interactions in Mathematical Investigations; title: Aspects of Computerized Learning Environments Which Support Problem Solving; title: A General Model of Algebraic Problem Solving for the Design of Interactive Learning Environments; title: Problem Solving: Its Assimilation to the Teacher's Perspective; title: Computer Spreadsheet and Investigative Activities: A Case Study of an Innovative Experience; title: Examining Effects of Heuristic Processes on the Problem-Solving Education of Preservice Mathematics Teachers; title: Mathematics Problem Solving: Some Issues Related to Teacher Education, School Curriculum, and Instruction.