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Original Articles

Simple Addition Strategies in a First-Grade Class With Multiple Strategy Instruction

Pages 1-21 | Published online: 07 Jun 2010

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (9)

Ron Tzur, Heather Lynn Johnson, Anderson Norton, Alan Davis, Xin Wang, Michael Ferrara, Cody Harrington & Nicola Mercedes Hodkowski. (2021) Children’s Spontaneous Additive Strategy Relates to Multiplicative Reasoning. Cognition and Instruction 39:4, pages 451-476.
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Pernille B. Sunde, Peter Sunde & Judy Sayers. (2020) Sex differences in mental strategies for single-digit addition in the first years of school. Educational Psychology 40:1, pages 82-102.
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Beth M. Casey, Caitlin McPherran Lombardi, Amanda Pollock, Bonnie Fineman & Elizabeth Pezaris. (2017) Girls’ Spatial Skills and Arithmetic Strategies in First Grade as Predictors of Fifth-Grade Analytical Math Reasoning. Journal of Cognition and Development 18:5, pages 530-555.
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Sarah Hopkins & Donna Bayliss. (2017) The Prevalence and Disadvantage of Min-Counting in Seventh Grade: Problems with Confidence As Well As Accuracy?. Mathematical Thinking and Learning 19:1, pages 19-32.
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ArthurJ. Baroody, MichaelD. Eiland, DavidJ. Purpura & ErinE. Reid. (2012) Fostering At-Risk Kindergarten Children's Number Sense. Cognition and Instruction 30:4, pages 435-470.
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Ineke Imbo & André Vandierendonck. (2007) The role of phonological and executive working memory resources in simple arithmetic strategies. European Journal of Cognitive Psychology 19:6, pages 910-933.
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Yukari Okamoto, Reagan Curtis, JohnJ. Jabagchourian & Lisa Marie Weckbacher. (2006) Mathematical precocity in young children: a neo‐Piagetian perspective. High Ability Studies 17:2, pages 183-202.
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Joke Torbeyns, Lieven Verschaffel & Pol Ghesquière. (2006) The Development of Children's Adaptive Expertise in the Number Domain 20 to 100. Cognition and Instruction 24:4, pages 439-465.
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Articles from other publishers (29)

Wei Hong, Jon R. Star, Ru-De Liu, Ronghuan Jiang & Xinchen Fu. (2023) A Systematic Review of Mathematical Flexibility: Concepts, Measurements, and Related Research. Educational Psychology Review 35:4.
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Marina Vasilyeva, Elida V. Laski, Beth M. Casey, Linxi Lu, Muanjing Wang & Hyun Young Cho. (2023) Spatial–Numerical Magnitude Estimation Mediates Early Sex Differences in the Use of Advanced Arithmetic Strategies. Journal of Intelligence 11:5, pages 97.
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Laura Martignon & Charlotte Rechtsteiner. (2022) The Benefits of an Interdisciplinary Approach to Mathematics Education on Issues Around Computation in School. Frontiers in Psychology 13.
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Douglas H. Clements, Denis Dumas, Yixiao Dong, Holland W. Banse, Julie Sarama & Crystal A. Day-Hess. (2020) Strategy diversity in early mathematics classrooms. Contemporary Educational Psychology 60, pages 101834.
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Gamal Cerda, Estíbaliz Aragón, Carlos Pérez, José I. Navarro & Manuel Aguilar. (2018) The Open Algorithm Based on Numbers (ABN) Method: An Effective Instructional Approach to Domain-Specific Precursors of Arithmetic Development. Frontiers in Psychology 9.
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Sara Caviola, Irene C. Mammarella, Massimiliano Pastore & Jo-Anne LeFevre. (2018) Children's Strategy Choices on Complex Subtraction Problems: Individual Differences and Developmental Changes. Frontiers in Psychology 9.
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Stephen Norton & Qinqiong Zhang. (2016) Primary mathematics teacher education in Australia and China: What might we learn from each other?. Journal of Mathematics Teacher Education 21:3, pages 263-285.
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Beth M. Casey & Harriet Fell. 2018. Visualizing Mathematics. Visualizing Mathematics 47 75 .
Estíbaliz L. Aragón-Mendizábal, María del Carmen Canto-López, Esperanza Marchena-Consejero, José I. Navarro-Guzmán & Manuel Aguilar-Villagrán. (2017) Cognitive Profile in Learning Mathematics With Open Calculation Based on Numbers Algorithm. Revista de Psicodidáctica (English ed.) 22:1, pages 54-59.
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Estíbaliz L. Aragón-Mendizábal, María del Carmen Canto-López, Esperanza Marchena-Consejero, José I. Navarro-Guzmán & Manuel Aguilar-Villagrán. (2017) Perfil cognitivo asociado al aprendizaje matemático con el método algoritmo abierto basado en números. Revista de Psicodidáctica 22:1, pages 54-59.
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David J. Purpura, Arthur J. Baroody, Michael D. Eiland & Erin E. Reid. (2016) Fostering First Graders’ Reasoning Strategies with Basic Sums: The Value of Guided Instruction. The Elementary School Journal 117:1, pages 72-100.
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Marije F. Fagginger Auer, Marian Hickendorff & Cornelis M. van Putten. (2016) Solution strategies and adaptivity in multidigit division in a choice/no-choice experiment: Student and instructional factors. Learning and Instruction 41, pages 52-59.
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Arthur J. Baroody, David J. Purpura, Michael D. Eiland & Erin E. Reid. (2015) The impact of highly and minimally guided discovery instruction on promoting the learning of reasoning strategies for basic add-1 and doubles combinations. Early Childhood Research Quarterly 30, pages 93-105.
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Victoria Simms, Lucy Cragg, Camilla Gilmore, Neil Marlow & Samantha Johnson. (2013) Mathematics difficulties in children born very preterm: current research and future directions. Archives of Disease in Childhood - Fetal and Neonatal Edition 98:5, pages F457-F463.
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Arthur J. Baroody, Michael D. Eiland, David J. Purpura & Erin E. Reid. (2013) Can Computer-Assisted Discovery Learning Foster First Graders’ Fluency With the Most Basic Addition Combinations?. American Educational Research Journal 50:3, pages 533-573.
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Justin W. Bonny & Stella F. Lourenco. (2013) The approximate number system and its relation to early math achievement: Evidence from the preschool years. Journal of Experimental Child Psychology 114:3, pages 375-388.
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Christoph Selter, Susanne Prediger, Marcus Nührenbörger & Stephan Hußmann. (2011) Taking away and determining the difference—a longitudinal perspective on two models of subtraction and the inverse relation to addition. Educational Studies in Mathematics 79:3, pages 389-408.
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Lieven Verschaffel, Koen Luwel, Joke Torbeyns & Wim Van Dooren. 2011. Links Between Beliefs and Cognitive Flexibility. Links Between Beliefs and Cognitive Flexibility 175 197 .
Christoph Selter. (2009) Creativity, flexibility, adaptivity, and strategy use in mathematics. ZDM 41:5, pages 619-625.
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John Threlfall. (2009) Strategies and flexibility in mental calculation. ZDM 41:5, pages 541-555.
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Joke Torbeyns, Bert Smedt, Pol Ghesquière & Lieven Verschaffel. (2009) Jump or compensate? Strategy flexibility in the number domain up to 100. ZDM 41:5, pages 581-590.
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Lieven Verschaffel, Koen Luwel, Joke Torbeyns & Wim Van Dooren. (2009) Conceptualizing, investigating, and enhancing adaptive expertise in elementary mathematics education. European Journal of Psychology of Education 24:3, pages 335-359.
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Joke Torbeyns, Bert De Smedt, Pol Ghesquière & Lieven Verschaffel. (2008) Acquisition and use of shortcut strategies by traditionally schooled children. Educational Studies in Mathematics 71:1, pages 1-17.
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Koen Luwel, Patrick Onghena, Joke Torbeyns, Viki Schillemans & Lieven Verschaffel. (2009) Strengths and Weaknesses of the Choice/No-Choice Method in Research on Strategy Use. European Psychologist 14:4, pages 351-362.
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Arthur J. Baroody, Neet Priya Bajwa & Michael Eiland. (2009) Why can't Johnny remember the basic facts?. Developmental Disabilities Research Reviews 15:1, pages 69-79.
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Camilla K. Gilmore & Peter Bryant. (2008) Can children construct inverse relations in arithmetic? Evidence for individual differences in the development of conceptual understanding and computational skill. British Journal of Developmental Psychology 26:3, pages 301-316.
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David Evans. (2016) Developing Mathematical Proficiency in the Australian Context. Journal of Learning Disabilities 40:5, pages 420-426.
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Ineke Imbo & André Vandierendonck. (2007) The development of strategy use in elementary school children: Working memory and individual differences. Journal of Experimental Child Psychology 96:4, pages 284-309.
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Lieven Verschaffel, Joke Torbeyns, Bert De Smedt, Koen Luwel & Wim Van Dooren. (2007) Strategy flexibility in children with low achievement in mathematics. Educational and Child Psychology 24:2, pages 16-27.
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