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Mathematical Connections Established In The Teaching Of Functions, Vesife Hatisaru Jan 2022

Mathematical Connections Established In The Teaching Of Functions, Vesife Hatisaru

Research outputs 2022 to 2026

This study explores the types of mathematical connections established in the classroom in the teaching of functions. An extended model for mathematical connections (different representations (DR), procedural (PC), if-then (I-T), part-whole connections (PWC), feature/property (F/P), analogies, and instruction-oriented connections (IOC)) is used as the analytical framework. The context for the study is classroom observations of two secondary mathematics teachers teaching functions to Grade 9 students. The strength of teachers’ mathematical knowledge for teaching (MKT) the concept of function is different: one has stronger MKT, while the other has weaker MKT. A total of 485 connections are identified in a sample …


How To Develop A Structural Conception Of Algebra In School Students, Vesife Hatisaru Jan 2022

How To Develop A Structural Conception Of Algebra In School Students, Vesife Hatisaru

Research outputs 2022 to 2026

Algebra plays a pivotal role in school students’ mathematics learning. Students, however, have serious difficulties especially with ‘seeing’ the algebraic structures and expressing generality with algebraic symbols. These skills are not gained accidently; developing them in students takes continuous, sustained, and focused effort from both students themselves and teachers. As teachers of mathematics, what kind of classroom experience could we provide our students to prepare them for using algebra successfully? How could we assist them to develop structural conceptions of algebra? In this paper, I describe an approach based on the Mathematical Habits of Mind framework (Cuoco et al., 1996) …