Assessment of early arithmetic skills based on a developmental stage - - PDF document

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Assessment of early arithmetic skills based on a developmental stage - - PDF document

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Assessment of early arithmetic skills based on a developmental stage model Dominique Arndt, Katleen Sahr, Maria Opfermann, Annemarie Fritz, Detlev Leutner University of Duisburg Essen Overview Screening & Marko D: Sample tasks of all

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Assessment of early arithmetic skills based

  • n a developmental stage model

Dominique Arndt, Katleen Sahr, Maria Opfermann, Annemarie Fritz, Detlev Leutner University of Duisburg‐Essen

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Overview

  • Screening & Marko‐D:

Sample tasks of all five model stages on both test sets

  • Empirical results:

Reliability & Rasch analysis

Theory Tests Current Research

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Screening & MARKO‐D

Theory Tests Current Research

3 Screening Marko‐D The ability to distinguish small sets and to count and enumerate them Stage I Stage II Stage IV Stage III Stage V

Screening & MARKO‐D

Theory Tests Current Research

4 Screening Marko‐D Stage I Stage II Stage IV Stage III Stage V The ability to: name predecessor and successor of a given number on a mental number line solve addition tasks with small numbers by counting or by making use of the number line

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Screening & MARKO‐D

Theory Tests Current Research

5 Which number comes right before / after six? Screening Marko‐D Stage I Stage II Stage IV Stage III Stage V Understanding the connection of number and set in a cardinal number concept

Screening & MARKO‐D

Theory Tests Current Research

6 Could you please give me 5 stones? 3 of them shall be red! (Red & blue stones provided to the subject) Screening Marko‐D Stage I Stage II Stage IV Stage III Stage V Part‐part‐whole concept Organizing the knowledge of breaking and assembling sets

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Screening & MARKO‐D

Theory Tests Current Research

7 Write the number which is 3 less then 7 on the first line! Screening Marko‐D Stage I Stage II Stage IV Stage III Stage V The understanding of congruent intervals between numbers on the number line

Empirical results

Screening: –Kindergarten subtest: α = .819 (Number of items: 18) –1st grade subtest: α = .830 (Number of items: 18) –2nd grade subtest: α = .778 (Number of items: 18) – Test fitted the Rasch model (Weighted Fit MNSQ < 1.2 for 32 items) with person‐separation‐reliability of .864 Marko‐D: –α = .916 (Number of items: 61) –Test fitted the Rasch model (Weighted Fit MNSQ < 1.2 for 61 items) with person‐separation‐reliability of .945

Theory Tests Current Research

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Empirical results – Rasch analysis

Theory Tests Current Research

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Screening Stage I Stage II Stage IV Stage III Stage V Red = Kindergarten subtest

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Marko‐D

Empirical results – Rasch analysis

Theory Tests Current Research

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Screening Stage I Stage II Stage IV Stage III Stage V Red = 1st grade subtest

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Marko‐D

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Empirical results – Rasch analysis

Theory Tests Current Research

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Screening Stage I Stage II Stage IV Stage III Stage V Red = 2nd grade subtest

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Marko‐D

Empirical results – Rasch analysis

Theory Tests Current Research

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Screening Stage I Stage II Stage IV Stage III Stage V

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Marko‐D Red = Item‐stage mismatch

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Thank you very much for your kind attention!

Theory Tests Current Research