Polya and GeoGebra : A dynamic approach to problem solving
Journal Title: European Journal of Science and Mathematics Education - Year 2018, Vol 0, Issue 0
Abstract
Problem solving has been investigated in mathematics education for more than 60 years ago with the pioneering work of George Polya ( Polya , 1965). The four steps he proposes : understand the problem , devise a plan , carry it out and look back still apply in many instances. In recent years the emergence of dynamic mathematicss has enhanced the student creative and heuristics skills allowing the immediate construction of mathematical objects, their relationships and their interactive manipulation (Christou , Mousoulides , Pittalis & Pitta - Pantazi , 2005) , this has generated great interest in building dynamic learning scenarios to support the different stages of problem solving. In this paper a learning approach to problem solving activity using GeoGebra , one of the most popular tools of dynamic mathematics is presented.
Authors and Affiliations
Alfonso Meléndez Acuña| Departamento de Matemáticas, Escuela Colombiana de Ingeniería, Bogotá, Colombia. For correspondence: alfonso.melendez@escuelaing.edu.co
Investigating pre-service mathematics teachers’ content knowledge of algebraic word problems
Knowledge and understanding of mathematical operations serves as a pre-requisite for the successful translation of algebraic word problems. This study explored pre-service teachers’ ability to recognize mathematical oper...
A collaborative endeavour between mathematics and science educators: focus on the use of percent in chemistry
This paper is the outcome of a collaborative endeavour between mathematics and science educators where the insight from each field mutually informed one another. Specifically, building on the knowledge base from mathemat...
Does representation matter? Teacher-provided tables and drawings as cognitive tools for solving non-routine word problems in primary school
According to the German educational standards, students should be familiar with problem-solving as a general mathematical competency by the end of grade 4. Non-routine word problems are suitable tasks for mathematical pr...
Effectiveness of computer animation and geometrical instructional model on mathematics achievement and retention among junior secondary school students
This study investigated the effectiveness of computer animation and geometry instructional model on mathematics achievement and retention on Junior Secondary School Students in Minna, Nigeria. It also examined the influe...
Development of the structured problem posing skills and using metaphoric perceptions
The purpose of this study was to introduce problem posing activity to third grade students who have never met before.This study was also exploredstudents’ metaphorical images on problem posing process. Participants were...