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Asha K. Jitendra, Michael R. Harwell & Soo-hyun Im. (2024) Sustainability of a Teacher Professional Development Program on Students’ Proportional Reasoning Skills. The Journal of Experimental Education 92:1, pages 56-75.
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Mutlu Pişkin Tunç & Erdinç Çakıroğlu. (2022) Fostering prospective mathematics teachers’ proportional reasoning through a practice-based instruction. International Journal of Mathematical Education in Science and Technology 53:2, pages 269-288.
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Asha K. Jitendra, Michael R. Harwell, Stacy R. Karl, Soo-hyun Im & Susan C. Slater. (2021) Investigating the Generalizability of Schema-Based Instruction Focused on Proportional Reasoning: A Multi-State Study. The Journal of Experimental Education 89:4, pages 587-604.
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Rachael Eriksen Brown, Martha L. Epstein & Chandra Hawley Orrill. (2020) When Constant in a Proportional Relationship Isn’t Constant—A Sign of Not-So-Shared Understandings. Investigations in Mathematics Learning 12:3, pages 194-207.
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Michal Ayalon & Karina Wilkie. (2020) Students’ identification and expression of relations between variables in linear functions tasks in three curriculum contexts. Mathematical Thinking and Learning 22:1, pages 1-22.
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Travis Weiland, Chandra Hawley Orrill, Rachael Eriksen Brown & Gili Gal Nagar. (2019) Mathematics teachers’ ability to identify situations appropriate for proportional reasoning. Research in Mathematics Education 21:3, pages 233-250.
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Suzanne M. Riehl & Olof B. Steinthorsdottir. (2019) Missing-value proportion problems: The effects of number structure characteristics. Investigations in Mathematics Learning 11:1, pages 56-68.
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Tine Degrande, Lieven Verschaffel & Wim Van Dooren. (2017) Spontaneous Focusing on Quantitative Relations: Towards a Characterization. Mathematical Thinking and Learning 19:4, pages 260-275.
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Charles Hohensee. (2014) Backward Transfer: An Investigation of the Influence of Quadratic Functions Instruction on Students’ Prior Ways of Reasoning About Linear Functions. Mathematical Thinking and Learning 16:2, pages 135-174.
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Asha K. Jitendra, Amy E. Lein, Jon R. Star & Danielle N. Dupuis. (2013) The contribution of domain-specific knowledge in predicting students' proportional word problem-solving performance. Educational Research and Evaluation 19:8, pages 700-716.
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Kat Rands. (2013) Supporting Transgender and Gender-Nonconforming Youth Through Teaching Mathematics for Social Justice. Journal of LGBT Youth 10:1-2, pages 106-126.
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Ceneida Fernández & Salvador Llinares. (2011) De la estructura aditiva a la multiplicativa: efecto de dos variables en el desarrollo del razonamiento proporcional. Journal for the Study of Education and Development 34:1, pages 67-80.
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Wim
Van Dooren, DirkDe Bock & Lieven Verschaffel. (2010) From Addition to Multiplication … and Back: The Development of Students’ Additive and Multiplicative Reasoning Skills. Cognition and Instruction 28:3, pages 360-381.
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Robyn Pierce, Kaye Stacey & Caroline Bardini. (2010) Linear functions: teaching strategies and students' conceptions associated with y = mx + c
. Pedagogies: An International Journal 5:3, pages 202-215.
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Kris
H. Green. (2010) Matching Functions and Graphs at Multiple Levels of Bloom's Revised Taxonomy. PRIMUS 20:3, pages 204-216.
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Wim Van Dooren, Dirk De Bock, Kim Vleugels & Lieven Verschaffel. (2010) Just Answering … or Thinking? Contrasting Pupils' Solutions and Classifications of Missing-Value Word Problems. Mathematical Thinking and Learning 12:1, pages 20-35.
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Mirjam Ebersbach, Wim Van Dooren, Margje
N. Goudriaan & Lieven Verschaffel. (2010) Discriminating Non-linearity from Linearity: Its Cognitive Foundations in Five-Year-Olds. Mathematical Thinking and Learning 12:1, pages 4-19.
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Mirjam Ebersbach & WilmaC. M. Resing. (2008) Implicit and Explicit Knowledge of Linear and Exponential Growth in 5- and 9-Year-Olds. Journal of Cognition and Development 9:3, pages 286-309.
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Shelly Dole & Mal Shield. (2008) The capacity of two Australian eighth-grade textbooks for promoting proportional reasoning. Research in Mathematics Education 10:1, pages 19-35.
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Modestina Modestou & Athanasios Gagatsis. (2007) Students' Improper Proportional Reasoning: A result of the epistemological obstacle of “linearity”. Educational Psychology 27:1, pages 75-92.
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Yasemin Copur-Gencturk, Hye-Jeong Choi & Alan Cohen. (2022) Investigating teachers’ understanding through topic modeling: a promising approach to studying teachers’ knowledge. Journal of Mathematics Teacher Education 26:3, pages 281-302.
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E. Vanluydt, L. De Keyser, L. Verschaffel & W. Van Dooren. (2023) Stimulating early proportional reasoning: an intervention study in second graders. European Journal of Psychology of Education.
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Yandika Nugraha, Cholis Sa'dijah*, Susiswo Susiswo & Tjang Daniel. (2023) Proportional and Non-Proportional Situation: How to Make Sense of Them. International Journal of Educational Methodology 9:2, pages 355-365.
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