This paper explores the development of students ' knowledge of mathematical procedures. Students' tendency to develop rote knowledge of procedures has been widely commented on. I postulate an alternative, more "intelligent " endpoint for the development of procedural knowledge, where students choose to deviate from established solving patterns on particular problems for greater efficiency. The purpose of this study was to explore the instructional conditions that facilitate the emergence of this outcome. Students with no prior knowledge of formal linear equation-solving techniques were taught the basic transformations of this domain. After instruction, students engaged in problem-solving sessions in two conditions. In th...
Reform-oriented mathematics education calls for instruction that assists students in developing from...
This study explored Grade 11 Mathematics learners’ conceptual and procedural knowledge in solving al...
Relating procedural and conceptual mathematical knowledge is a very important educational goal that ...
The studies described in this thesis explore the development of students' knowledge of mathematical ...
Many mathematics educators have lost sight of the critical importance of the mathematical understand...
Abstract: The relationship between learners ’ knowledge of concepts and their ability to execute pr...
The authors propose that conceptual and procedural knowledge develop in an iterative fashion and tha...
This paper describes a study in which students ’ use of standard algorithms for solving linear equat...
The purpose of this study was to deepen and elaborate the understanding of the processes of construc...
The present study analysed the mathematical problem-solving processes, in terms of linearity and rec...
The present study analysed the mathematical problem-solving processes, in terms of linearity and rec...
a b s t r a c t Explaining new ideas to oneself can promote learning and transfer, but questions rem...
Research on productive failure suggests that attempting to solve a problem prior to instruction faci...
AbstractThis descriptive quantitative study aims to measure secondary year 4 students’ problem solvi...
Over the last few years, the information processing model of cognition has become increasingly promi...
Reform-oriented mathematics education calls for instruction that assists students in developing from...
This study explored Grade 11 Mathematics learners’ conceptual and procedural knowledge in solving al...
Relating procedural and conceptual mathematical knowledge is a very important educational goal that ...
The studies described in this thesis explore the development of students' knowledge of mathematical ...
Many mathematics educators have lost sight of the critical importance of the mathematical understand...
Abstract: The relationship between learners ’ knowledge of concepts and their ability to execute pr...
The authors propose that conceptual and procedural knowledge develop in an iterative fashion and tha...
This paper describes a study in which students ’ use of standard algorithms for solving linear equat...
The purpose of this study was to deepen and elaborate the understanding of the processes of construc...
The present study analysed the mathematical problem-solving processes, in terms of linearity and rec...
The present study analysed the mathematical problem-solving processes, in terms of linearity and rec...
a b s t r a c t Explaining new ideas to oneself can promote learning and transfer, but questions rem...
Research on productive failure suggests that attempting to solve a problem prior to instruction faci...
AbstractThis descriptive quantitative study aims to measure secondary year 4 students’ problem solvi...
Over the last few years, the information processing model of cognition has become increasingly promi...
Reform-oriented mathematics education calls for instruction that assists students in developing from...
This study explored Grade 11 Mathematics learners’ conceptual and procedural knowledge in solving al...
Relating procedural and conceptual mathematical knowledge is a very important educational goal that ...