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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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Author: KQ Team

AP: Scenario 1

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

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

AP: Scenario 2

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

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

Use of instructional materials

KQ Team October 2, 2012January 26, 2024 Use of instructional materials No Comments Read more

Adherence to textbook

KQ Team October 2, 2012January 26, 2024 Adherence to textbook No Comments Read more

Identifying errors

KQ Team September 20, 2012January 26, 2024 Identifying pupil errors No Comments 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

UIM: Scenario 1

Scenario: Teaching of fractions Country: Norway Grade (student age): Year 5 (age 10-11) Contributed by: Ove Gunnar Drageset, University of Tromsoe, Norway Context The teacher has 35 years of experience as a teacher. The lesson is taught mid-way through the

KQ Team September 10, 2012January 26, 2024 Use of instructional materials No Comments Read more
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  • 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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