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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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Contingency

Responding to students' ideas

Responding to Students’ Ideas (RSI)   This code includes the ability to make cogent, reasoned and well-informed responses to unanticipated ideas or suggestions from students These teachers’ responses are to students’ contributions to the (mathematical) development of the lesson. These

KQ Team October 13, 2012January 26, 2024 Responding to students' ideas Read more

RSI: Scenario 1

Scenario: Solving problems using Schema-Based Instruction Country: Cyprus Grade (student age): Year 5 (age 10-11) Contributed by: Marilena Petrou Context – national, curricular, professional, other Schema-Based Instruction aims to develop students’ understanding of the basic relations found in arithmetic word

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

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 3

Scenario: Christiana teaching average Country: Cyprus Grade (student age): Year 6 (age 11-12) Contributed by: Marilena Petrou Context – national, curricular, professional, other Christiana was a final year university student in a teacher praparation programme , Teacher training in Cyprus

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

RSI: Scenario 5

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

Deviation from lesson agenda

Contingency, Deviation from Agenda Descriptors / aspects of DA Good examples: When the teacher displays deeper subject matter knowledge to enhance pupils’ understanding When the teacher displays deeper subject matter knowledge in taking a pupil’s remark as a starting point

KQ Team September 2, 2012January 26, 2024 Deviation from lesson agenda No Comments Read more

Teacher insight

TI ‘Good’ examples Teacher stops to reflect-in- action and changes tack (example or representation being used) Explains that perhaps something else might work better & explains why Says, ‘Gosh, I hadn’t thought of that’ or says ‘Let’s retrace our steps’

KQ Team August 2, 2012January 26, 2024 Teacher insight No Comments Read more

Responding to (un)availability of tools and resources

Good examples:   Draws on alternative knowledge resources, and/or makes significant epistemological accommodation in response to lack of intended technology or resource. Draws on alternative knowledge resources, and/or makes significant epistemological accommodation in response to availability of unplanned for technology

KQ Team July 13, 2012January 26, 2024 Responding to the (un)availability of tools and resources No Comments Read more

RAT: Scenario 1

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

KQ Team July 12, 2012January 26, 2024 Responding to the (un)availability of tools and resources 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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