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The Knowledge Quartet

The Knowledge Quartet

a theoretical framework for the analysis and development of mathematics teaching

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UK

DT Scenario 1

Scenario: Laura teaching column multiplication Country: UK Grade (student age): Year 5 (age 9-10) Contributed by: Tim Rowland, University of Cambridge, UK Context: national, curricular, professional, other At the time when this lesson was recorded, mathematics in primary schools was

KQ Team August 3, 2017January 26, 2024 Teacher demonstration Read more

MCP: Scenario 2

Scenario: Jess teaching about the relationship between multiplication and division within the context of a lesson about solving word problems Country: UK Grade (student age): Year 5 (age 9-10) Contributed by: Fay Turner, University of Cambridge, UK Context – national,

KQ Team November 11, 2012January 26, 2024 Making connections between procedures Read more

MCP: Scenario 3

Scenario: Lucy teaching trigonometric ratios Country: UK Grade (student age): Year 10 (age 14-15) Contributed by: Anne Thwaites, University of Cambridge, UK Context – national, curricular, professional, other The National Curriculum for mathematics in England introduces trigonometric relationships in Key

KQ Team November 11, 2012January 26, 2024 Making connections between procedures Read more

TUP: Scenario 1

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

KQ Team October 22, 2012January 26, 2024 Theoretical underpinning of pedagogy Read more

TUP: Scenario 2

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

KQ Team October 12, 2012January 26, 2024 Theoretical underpinning of pedagogy Read more

RSI: Scenario 5

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

KQ Team October 11, 2012January 26, 2024 Responding to students' ideas Read more

MCC: Scenario 1

Scenario: Bella discussing connections Country: UK Grade (student age): Trainee teacher Contributed by: Gwen Ineson, Brunel University, UK Context –professional Bella is at the end of her one year post-graduate teacher training course.  She has completed nineteen weeks of sustained

KQ Team October 11, 2012January 26, 2024 Making connections between concepts Read more

AP: Scenario 3

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

KQ Team October 8, 2012January 26, 2024 Awareness of purpose No Comments Read more

AC: Scenario 2

Scenario: Chloe teaching strategies for subtracting 9, 11, 19 and 21 Country: UK Grade (student age): Year 1/2 (age 5-7) Contributed by: Fay Turner, University of Cambridge, UK Context – national, curricular, professional, other Chloe was a student teacher in

KQ Team September 11, 2012January 26, 2024 Anticipation of complexity No Comments Read more

TUP: Scenario 3

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

KQ Team September 2, 2012January 26, 2024 Theoretical underpinning of pedagogy No Comments Read more
  • « Previous
  • Foundation (17)
    • Theoretical underpinning of pedagogy (4)
    • Awareness of purpose (3)
    • Identifying pupil errors (1)
    • Overt display of subject knowledge (2)
    • Use of mathematical terminology (2)
    • Adherence to textbook (3)
    • Concentration on procedures (2)
  • Transformation (15)
    • Teacher demonstration (2)
    • Use of instructional materials (4)
    • Choice of representations (3)
    • Choice of examples (6)
  • Connection (9)
    • Making connections between procedures (3)
    • Making connections between concepts (1)
    • Anticipation of complexity (3)
    • Decisions about sequencing (1)
    • Recognition of conceptual appropriateness (1)
  • Contingency (12)
    • Responding to students' ideas (6)
    • Deviation from lesson agenda (1)
    • Teacher insight (1)
    • Responding to the (un)availability of tools and resources (4)
  • Uncategorized (5)

Tags

Counting (1) Cyprus (5) Data (1) Fractions (8) Geometry (1) Ireland (2) Italy (2) Norway (6) Operations (6) Percentages (2) Problem Solving (2) Reception/Kindergarten (1) Secondary (5) Turkey (1) UK (14) USA (3)
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