An Investigation of Prospective Mathematics Teachers’ Ability to Subtract Integers with a Number Line and Counters
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Resumo
Purpose: In the present study, the ability of middle school prospective mathematics teachers to subtract integers with counters and a number line was investigated. Design/Methodology/Approach: A case study method was used for the investigation. The research was conducted with 37 prospective teachers who were training in a state university’s undergraduate program on primary mathematics in northern Turkey. Four questions developed by the researcher for subtraction in integers were used as a data collection tool. The data of the study were analyzed in two stages. In the first stage, the answers of the prospective teachers were determined as right or wrong; subsequently, in the second stage, the mistakes that led to the wrong answers were determined. Findings: The prospective teachers were relatively successful with respect to both modeling types. The prospective teachers had the highest rates of success in modeling with counters, with a rate of approximately 97% in subtracting a negative integer from a positive integer ((+3) − (−5)), and the lowest rates of success in subtracting a negative integer from a negative integer, with a rate of around 89% for the operation ((−4) − (−7)). In modeling with the number line, the highest success rate was approximately 91% for subtracting a positive integer ((+2) − (+5)) from another positive integer, whereas the lowest success rate was around 86% for subtracting a negative integer from a negative integer in the operation of ((−4) − (−7)) Highlights: According to the results of the research, the prospective teachers were relatively successful in modeling the subtraction of integers using counters and a number line.
Dados da obra
- Tipo
- Artigo
- Periódico
- Kastamonu Eğitim Dergisi, v. 30, n. 1, p. 205-216
- Editora
- Kastamonu University
- Ano
- 2022 (2022-02-28)
- Idioma
- en
- Palavras-chave
- integer subtraction; number line; counters; pre-service mathematics teachers; teacher professional development; junior high school mathematics; student errors; negative integers; mathematical modeling
- Temas
- Formação de Professores de Matemática, Modelagem Matemática
- DOI
- 10.24106/kefdergi.833879
- ISSN
- 1300-8811, 2147-9844
- Acesso
- Download disponível
- Fontes
- OpenAlex
- Na Biblioteca desde
- 01/10/2026 · verificada em 03/10/2026
Como citar
ABNT
ÖZDEMIR, Ercan. An Investigation of Prospective Mathematics Teachers’ Ability to Subtract Integers with a Number Line and Counters. Kastamonu Eğitim Dergisi, v. 30, n. 1, p. 205-216, 2022. DOI: https://doi.org/10.24106/kefdergi.833879.
APA
Özdemir, E. (2022). An Investigation of Prospective Mathematics Teachers’ Ability to Subtract Integers with a Number Line and Counters. Kastamonu Eğitim Dergisi, 30(1), 205-216. https://doi.org/10.24106/kefdergi.833879
BibTeX
@article{ozdemir2022,
author = {Özdemir, Ercan},
title = {An Investigation of Prospective Mathematics Teachers’ Ability to Subtract Integers with a Number Line and Counters},
year = {2022},
journal = {Kastamonu Eğitim Dergisi},
volume = {30},
number = {1},
pages = {205-216},
publisher = {Kastamonu University},
doi = {10.24106/kefdergi.833879},
language = {en}
}RIS
TY - JOUR AU - Özdemir, Ercan TI - An Investigation of Prospective Mathematics Teachers’ Ability to Subtract Integers with a Number Line and Counters PY - 2022 JO - Kastamonu Eğitim Dergisi VL - 30 IS - 1 SP - 205 EP - 216 DO - 10.24106/kefdergi.833879 LA - en ER -
Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS
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