Skip to content
The Knowledge Quartet

The Knowledge Quartet

a theoretical framework for the analysis and development of mathematics teaching

Menu

  • Home
  • Introduction
  • Dimensions
  • Scenarios
  • References
  • Contact

Fractions

RSI: Scenario 2

Scenario: Róisín teaching equivalence of fractions Country: Ireland Grade (student age): 3rd class (age 8-9) Contributed by: Dolores Corcoran, St Patrick’s College, Drumcondra, Ireland Context – national, curricular, professional, other The Irish primary curriculum proposes that “the child should be

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

RSI: Scenario 4

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

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

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 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

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

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
  • 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)
Copyright © 2025 The Knowledge Quartet. All rights reserved. Theme Spacious by ThemeGrill. Powered by: WordPress.