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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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Transformation

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

Teacher Demonstration

KQ Team November 14, 2012January 26, 2024 Teacher demonstration Read more

Use of instructional materials

KQ Team October 2, 2012January 26, 2024 Use of instructional materials 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

UIM: Scenario 2

Scenario: Teaching of fractions Country: Norway Grade (student age): Example 1 - year 7 (age 12-13) Contributed by: Ove Gunnar Drageset, University of Tromsoe, Norway Context The teacher in example one has 25 years of experience as a teacher. The

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

UIM: Scenario 3

Scenario: Christiana’s teaching multiplication by powers of ten Country: Cyprus Grade (student age): Year 4 (age 9-10) Contributed by: Marilena Petrou Context – national, curricular, professional, other In Cyprus textbooks are used on a daily basis in the classroom, and

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

CUR: Scenario 1

Scenario: Sharon teaching subtraction Country: UK Grade (student age): Year 4 (age 8-9) Contributed by: Ray Huntley, Brunel University, UK Context – national, curricular, professional, other Subtraction is taught to primary children as being either ‘take-away’ or ‘difference’, with various

KQ Team August 14, 2012January 26, 2024 Choice of representations No Comments Read more

CUR: Scenario 2

Scenario: Umay teaches the limit concept Country: Turkey Grade (student age): K 12 (age 17-18) Contributed by: Semiha KULA, Esra BUKOVA GÜZEL, University of Dokuz Eylül, Turkey Context – national, curricular, professional, other Secondary school lasts four years in Turkey,

KQ Team August 11, 2012January 26, 2024 Choice of representations No Comments Read more

CUR: Scenario 3

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 Choice of representations No Comments Read more

Choice of Examples

Based on reviewing the original data that gave rise to the codes as well as the new scenarios contributed by our research group, we have generated the following descriptors or aspects of CUE: “Strong” examples of CUE: High cognitive demand

KQ Team July 15, 2012January 26, 2024 Choice of examples 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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