Active Learning in Secondary School Mathematics

Abstract In recent years there has been widespread advocacy for a greater variety of learning activities to be used in the teaching of mathematics in secondary schools, and in particular calls for greater use of active learning. In essence, active learning may be described as the use of learning activities where pupils are given a marked degree of ownership and control over the learning activities used, where the learning experience is open‐ended rather than tightly pre‐determined, and where the pupil is able to actively participate in and shape the learning experience. The term ‘active learning’ has commonly been applied to a diverse range of learning activities, such as practical work, computer‐assisted learning, role play exercises, work experience, individualised work schemes, small group discussion, collaborative problem‐solving and extended project work. In the first phase of the study, seven categories of learning activities used in mathematics lessons were identified. One activity was considered t...

[1]  Chris Kyriacou,et al.  Effective Teaching in Schools , 1992 .

[2]  E. Forman,et al.  The role of peer interaction in the social construction of mathematical knowledge , 1989 .

[3]  Gaea Leinhardt,et al.  Subject-Matter Knowledge and Elementary Instruction: A Case from Functions and Graphing , 1990 .

[4]  Kathleen A. Cramer,et al.  An Observational Study of Small-Group Mathematics Instruction in Elementary Schools , 1990 .

[5]  H. Constable,et al.  Exploratory Group Technique: an approach to sensitising school‐focused research , 1990 .

[6]  P. Cobb A constructivist perspective on information-processing theories of mathematical activity , 1990 .

[7]  G. Salomon,et al.  When teams do not function the way they ought to , 1989 .

[8]  Bert van Oers,et al.  The development of mathematical thinking in school: a comparison of the action- psychological and information-processing approaches , 1990 .

[9]  Chris Kyriacou,et al.  Essential Teaching Skills , 1991 .

[10]  N. Webb Peer interaction and learning in small groups , 1989 .

[11]  Annemarie Sullivan Palincsar,et al.  Collaborating with teachers in the interest of student collaboration , 1989 .

[12]  Robert E. Slavin,et al.  Cooperative Learning and Student Achievement , 1988 .

[13]  Dennis Raphael,et al.  Communication and Problem Solving Achievement in Cooperative Learning Groups. , 1990 .

[14]  The nature of active learning in secondary schools , 1989 .

[15]  Christine Shiu,et al.  Mathematics in the National Curriculum , 1990 .

[16]  W. Damon,et al.  Critical distinctions among three approaches to peer education , 1989 .

[17]  Teachers' Beliefs about Small-Group Instruction in Elementary School Mathematics. , 1990 .

[18]  Donna Brandes,et al.  A Guide to Student-Centred Learning , 1986 .

[19]  Alan H. Schoenfeld,et al.  When Good Teaching Leads to Bad Results: The Disasters of 'Well-Taught' Mathematics Courses , 1988 .

[20]  Alan H. Schoenfeld,et al.  Ideas in the air: Speculations on small group learning, environmental and cultural influences on cognition, and epistemology , 1989 .

[21]  S. Bossert,et al.  Chapter 6: Cooperative Activities in the Classroom , 1988 .

[22]  Mary Harris Schools, Mathematics and Work. , 1991 .