ERIC Number: EJ1101487
Record Type: Journal
Publication Date: 2016-Jun
Abstractor: As Provided
Reference Count: 68
Learning to Teach Upper Primary School Algebra: Changes to Teachers' Mathematical Knowledge for Teaching Functional Thinking
Wilkie, Karina J.
Mathematics Education Research Journal, v28 n2 p245-275 Jun 2016
A key aspect of learning algebra in the middle years of schooling is exploring the functional relationship between two variables: noticing and generalising the relationship, and expressing it mathematically. This article describes research on the professional learning of upper primary school teachers for developing their students' functional thinking through pattern generalisation. This aspect of algebra learning has been explicitly brought to the attention of upper primary teachers in the recently introduced Australian curriculum. Ten practising teachers participated over 1 year in a design-based research project involving a sequence of geometric pattern generalisation lessons with their classes. Initial and final survey responses and teachers' interactions in regular meetings and lessons were analysed from cognitive and situated perspectives on professional learning, using a theoretical model for the different types of knowledge needed for teaching mathematics. The teachers demonstrated an increase in certain aspects of their mathematical knowledge for teaching algebra as well as some residual issues. Implications for the professional learning of practising and pre-service teachers to develop their mathematics knowledge for teaching functional thinking, and challenges with operationalising knowledge categories for field-based research are presented.
Descriptors: Algebra, Mathematics Instruction, Generalization, Elementary School Mathematics, Geometric Concepts, Foreign Countries, Research Projects, Teacher Surveys, Faculty Development, Mathematical Logic, Knowledge Level, Teaching Methods
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Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education
Authoring Institution: N/A
Identifiers - Location: Australia