Foundation
6 years ago Posted in: Dimensions, Foundation 0

This category consists of knowledge, beliefs and understanding acquired in the academy, in preparation (intentionally or otherwise) for their role in the classroom. Such knowledge and beliefs inform pedagogical choices and strategies in a fundamental way. The key components of this theoretical background are: knowledge and understanding of mathematics per se and knowledge of significanttracts […]

6 years, 1 month ago Posted in: Theoretical underpinning of pedagogy 0

One aspect of Mathematical Knowledge for Teaching is a teacher’s use of a theoretical foundation to guide instructional decisions, rather than relying on imitation of another teacher or trial and error. Therefore, it is important for teachers to know factors that are significant in the teaching and learning of mathematics (Rowland et al., 2009; Ball, […]

6 years, 1 month ago Posted in: Theoretical underpinning of pedagogy 0

Scenario: John teaching properties of 3-D shapes Country: UK Grade (student age): Year 9 (age 13-14) Contributed by: Anne Thwaites, University of Cambridge, UK Context – national, curricular, professional, other The National Curriculum for mathematics in England includes properties of 3D shapes in Key Stage 3 (years 7-9, pupil age 11-14) including surface area and […]

6 years, 2 months ago Posted in: Theoretical underpinning of pedagogy 0

Scenario: Heidi revising percentages Country: UK Grade (student age): Year 8 (age 12-13) Contributed by: Anne Thwaites, University of Cambridge, UK Context – national, curricular, professional, other The National Curriculum for mathematics in England includes work on fractions, decimals and percentages in Key Stage 3 (years 7-9, pupil age 11-14). Heidi was revising the four […]

6 years, 2 months ago Posted in: Awareness of purpose 0

Scenario: Finding three fractions that adds up to one whole Country: Norway Grade (student age): Grade 7 (age 12-13) Contributed by: Ove Gunnar Drageset, University of Tromsoe, Norway Context The teacher has five years teaching experience. The lesson is halfway through grade seven. The competence goals in the Norwegian curriculum are not formulated for each […]

6 years, 2 months ago Posted in: Awareness of purpose 0

Scenario: Franca solving a story problem with the students. Country: Italy Grade (student age): Year 4 (age 9-10) Contributed by: Marco Bardelli, University of Padova, Italy Context – public primary school, national curriculum The Italian National Curriculum emphasizes the development of students’ number sense through realistic mathematical problems where the estimate of numbers can be […]

6 years, 2 months ago Posted in: Awareness of purpose 0

Scenario: Jim teaching construction of bar charts from tally charts Country: UK Grade (student age): Year 6 (age 9-11) Contributed by: Fay Turner, University of Cambridge, UK Context – national, curricular, professional, other Jim was a student teacher in the final term of a postgraduate teacher education course. During his final school placement, he was […]

6 years, 2 months ago Posted in: Adherence to textbook 0
6 years, 2 months ago Posted in: Identifying pupil errors 0
6 years, 3 months ago Posted in: Theoretical underpinning of pedagogy 0

Scenario: Amy teaching a lesson about counting Country: UK Grade (student age): Reception/Kindergarten (age 4-5) Contributed by: Fay Turner, University of Cambridge, UK Context – national, curricular, professional, other This lesson took place during the second half of Amy’s first term teaching in a large city primary school.  It was a lesson with Amy’s Reception […]