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Presenting a New Model to Support the Secondary-Tertiary Transition to College Calculus: the Secondary Precalculus and Calculus Four Component Instructional Design (SPC 4C/ID) Model

Artigo2023

Carol H. Wade; Christian Wilkens; Gerhard Sonnert; Philip M. Sadler

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Resumo

Although the secondary-tertiary transition has been investigated in mathematics education research with different focuses and theoretical approaches, it remains a major issue for students in the transition. With success in a science, technology, engineering, or mathematics (STEM) major at stake, we investigated a novel approach to support the transition from secondary precalculus or calculus to tertiary calculus. Using the Four Component Instructional Design (4C/ID) model and empirical data from the United States (US) nationally representative FICSMath project, we mapped instructional experiences of students in the transition to theoretical components of the 4C/ID model. From exploratory factor analysis (n=6,140), we found six factors that mapped to the 4C/ID model components and created the new Secondary Precalculus Calculus (SPC) 4C/ID model. In this model, the Learning Task Component represents tasks to engage learners in meaningful problem solving; the Support Component grounds instruction in reasoning and understanding; the Procedure Component integrates group work and graphing calculators to connect concepts to procedures; and the Part-Task Component represents instruction to develop automaticity. The SPC 4C/ID model presents a unique support for precalculus and calculus teachers in the quest of teaching for learning and transfer of learning across the transition.

Dados da obra

Tipo
Artigo
Periódico
Journal of Mathematics Education at Teachers College
Ano
2023
Idioma
en
Palavras-chave
Secondary School Mathematics; College Mathematics; Calculus; Instructional Design; Transitional Programs; Mathematics Education; Teaching Methods; Mathematical Models
Temas
Cálculo, Resolução de Problemas
Acesso
Metadados apenas
Fontes
ERIC — Education Resources Information Center
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
WADE, Carol H. et al.. Presenting a New Model to Support the Secondary-Tertiary Transition to College Calculus: the Secondary Precalculus and Calculus Four Component Instructional Design (SPC 4C/ID) Model. Journal of Mathematics Education at Teachers College, 2023. Disponível em: https://doi.org/10.52214/jmetc.v14i1.10483. Acesso em: 5 nov. 2026.

APA

Wade, C. H., Wilkens, C., Sonnert, G., & Sadler, P. M. (2023). Presenting a New Model to Support the Secondary-Tertiary Transition to College Calculus: the Secondary Precalculus and Calculus Four Component Instructional Design (SPC 4C/ID) Model. Journal of Mathematics Education at Teachers College. https://doi.org/10.52214/jmetc.v14i1.10483

BibTeX
@article{wade2023,
  author = {Wade, Carol H. and Wilkens, Christian and Sonnert, Gerhard and Sadler, Philip M.},
  title = {Presenting a New Model to Support the Secondary-Tertiary Transition to College Calculus: the Secondary Precalculus and Calculus Four Component Instructional Design (SPC 4C/ID) Model},
  year = {2023},
  journal = {Journal of Mathematics Education at Teachers College},
  url = {https://doi.org/10.52214/jmetc.v14i1.10483},
  language = {en}
}
RIS
TY  - JOUR
AU  - Wade, Carol H.
AU  - Wilkens, Christian
AU  - Sonnert, Gerhard
AU  - Sadler, Philip M.
TI  - Presenting a New Model to Support the Secondary-Tertiary Transition to College Calculus: the Secondary Precalculus and Calculus Four Component Instructional Design (SPC 4C/ID) Model
PY  - 2023
JO  - Journal of Mathematics Education at Teachers College
UR  - https://doi.org/10.52214/jmetc.v14i1.10483
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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