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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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Connection

MCP: Scenario 1

Scenario: Christiana teaching division by multiples of ten Country: Cyprus Grade (student age): Year 5 (age 10-11) Contributed by: Marilena Petrou Context – national, curricular, professional, other Christiana was a final year university student in a 4 year teacher prapeartion

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

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

AC: Scenario 1

Scenario: Find 5/3 when 9 is the whole Country: Norway Grade (student age): Year 5 (age 10-11) Contributed by: Ove Gunnar Drageset, University of Tromsoe, Norway Context The teacher has 16 years of teaching experience. The lesson is from fifth

KQ Team September 11, 2012January 26, 2024 Anticipation of complexity 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

AC: Scenario 3

Scenario: Nóirín teaching fraction concepts Country: Ireland Grade (student age): 5th Class (age 10-11) Contributed by: Dolores Corcoran, St Patrick’s College, Drumcondra, Ireland Context – national, curricular, professional, other Nóirín is an undergraduate student in her final year in a

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

DS- Scenario 1

Scenario: Hans teaching fractions greater than one Country: Norway Grade (student age): Year 5 (age 11-12) Contributed by: Bodil Kleve, Oslo and Akershus University College of Applied Sciences Context – national, curricular, professional, other In our present curriculum LK 06,

KQ Team August 11, 2012January 26, 2024 Decisions about sequencing No Comments Read more

RCA: Scenario 1

Scenario: Find all fractions larger than 1/2 Country: Norway Grade (student age): Year 6 (age 11-12) Contributed by: Ove Gunnar Drageset, University of Tromsoe, Norway Context The teacher has 20 years of teaching experience. The lesson is at grade 6

KQ Team July 11, 2012January 26, 2024 Recognition of conceptual appropriateness No Comments Read more
  • 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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