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

Foundation

OSK: Scenario 2

Scenario: Mirella teaching two-digit divisions by invariantive law Country: Italy Grade (student age): Year 3 (age 7-8) Contributed by: Marco Bardelli, University of Padova, Italy Context – public primary school, national curriculum In Italy two-digit divisions is a topic that

KQ Team August 10, 2012January 26, 2024 Overt display of subject knowledge No Comments Read more

Use of terminology

‘Good’ examples Demonstrate knowledge of the correct mathematical terms & their precise meanings Correct use of mathematical terms and evidence of efforts to teach these terms Use alternative ways & more precise words to describe shapes for example, if child

KQ Team July 13, 2012January 26, 2024 Use of mathematical terminology No Comments Read more

UT: Scenario 1

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 July 12, 2012January 26, 2024 Use of mathematical terminology No Comments Read more

ATB: Scenario 1

Scenario: Holly teaching probability Country: USA Grade (student age): Grade 4 (age 9-10) Contributed by: Tracy Weston, The University of Alabama, USA Context –curricular, professional, other As is the case in the United States, North Carolina has state mandated goals

KQ Team June 14, 2012January 26, 2024 Adherence to textbook No Comments Read more

ATB: Scenario 2

Scenario: Eoin revising perimeter and area concepts Country: Ireland Grade (student age): 6th class (age 11-12 years) Contributed by: Dolores Corcoran, St Patrick’s College, Drumcondra, Ireland Context – national, curricular, professional, other While espousing a reform approach with the mandated

KQ Team June 13, 2012January 26, 2024 Adherence to textbook No Comments Read more

COP: Scenario 1

Scenario: Maeve discussing the use of formal standard algorithms Country: UK Grade (student age): Pre-service teacher Contributed by: Gwen Ineson, Brunel University, UK Context – professional The session described below took place in week five of a one year postgraduate

KQ Team May 13, 2012January 26, 2024 Concentration on procedures No Comments Read more

COP: Scenario 2

Scenario: Eleanor discussing approaches to helping pupils solve a multiplication problem Country: UK Grade (student age): Primary Contributed by: Gwen Ineson, Brunel University, UK Context – professional Eleanor was at the end of her one year graduate pre-service teacher training

KQ Team May 10, 2012January 26, 2024 Concentration on procedures No Comments Read more
  • Next »
  • 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.