A Proposed Instructional Theory for Integer Addition and Subtraction
By M. Stephan, Didem Akyuz. 2012
141 citations recorded by the source corpus.
Subfields: Education, Modeling and Simulation, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/5d2481713744a6d3bafe08d5324c4d15b13483f9
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Education
In Modeling and Simulation
In Statistics and Probability
Citations in the corpus
- A hypothetical learning trajectory for conceptualizing matrices as linear transformations (2017, background): “One such research-based construct that directly informs instructional practice is that of a hypothetical learning trajectory [1,2,11,12].”
- Negative Integer Understanding: Characterizing First Graders' Mental Models (2014, background): “” Students using a formal mental model also determined which negative integer was greater by thinking about which one was closer to zero as found by Stephan and Akyuz (2012).”
- Examining individual and collective level mathematical progress (2014, methodology): “For instance, Stephan and Akyuz found that analyzing classroom mathematical practices provided valuable feedback toward refining an instructional theory on integers. We further posit that consideration of mathematical progress through the construct of disciplinary practices and individual mathematic”
- Teaching and Learning Activities in Classroom and Their Impact on Student Misunderstanding: A Case Study on Negative Integers (2019, background): “In the daily context, negative numbers can be represented as profit and costs, property and debt, win and loss score, and so on (Stephan & Akyuz, 2012; Sreffland, 1996).”
- Obstacles and Affordances for Integer Reasoning: An Analysis of Children's Thinking and the History of Mathematics (2014, unknown): “…models, tools, and contexts for teaching integers—e.g., scores and forfeits, debts and assets, number lines, and microworlds (see Freudenthal, 1983; Janvier, 1983; Liebeck, 1990; Linchevski & Williams, 1999; Moreno & Durán, 2004; Stephan & Akyuz, 2012; Streefland, 1996; Thompson & Dreyfus, 1988).”