Print Media References

Access print media references including relevant articles, assessments, textbooks, and other research-based references.

The program in this book utilizes semantic reasoning strengths, and a combination of whole-to-part processing and gross motor kinesthetic therapies to compensate for deficits in working memory, expressive language mechanisms, and executive function. Multiplication concepts and facts are linked to the student’s existing knowledge base across a broad spectrum of modalities.

Articles and Position Papers by Chris Woodin

Read this online article that includes information and examples (including video!) of how to understand then support struggling math learners through diagnostic and prescriptive teaching.

Books that Provide Research-Based Support

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Dyscalculia From Science to Education, 2019 Butterworth, Brian, Routledge, New York, NY

DUAL CODING THEORY AND EDUCATION Allan Paivio University of Western Ontario Draft chapter for the conference on “Pathways to Literacy Achievement for High Poverty Children,” The University of Michigan School of Education, September 29-October 1, 2006.

Number Sense and Dyscalculia, Wilson,W., Dehaene, S. 2007 INSERM-CEA Unit 562 « Cognitive Neuroimaging » Service Hospitalier Frédéric Joliot CEA-DRM-DSV Orsay, France appearing in: Human Behavior, Learning, and the Developing Brain: Atypical Development. Edited by Coch D, Dawson G, Fischer K: Guilford Press, New York 2007.

Human Behavior, Learning and the Developing Brain Coch, Dawson, Fischer

Problem Categorization A great lesson that Chris has posted on YouTube is his approach to problem categorization. A common challenge that dyslexic students face is getting lost in the myriad of different problems that are presented at one time. Like teaching students to categorize written essay prompts, it can be very helpful to teach students to categorize math problems

Articles on Cognition, Language, and Dyscalculia

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Dyscalculia-Based Articles And Powerpoint Presentations

Math Disability and Dyscalculia: One and the Same, or Not? Butterworth, Brian, Powerpoint Presentation, The Dyslexia Foundation, Boston, 2014

Subitizing and Visual Counting in Children with Problems in Acquiring Basic Arithmetic Skills. Fischer B, Gebhardt C, Hartnegg K.

College of Optometrists in Vision Development. 2008:39(1):24-29.

Effects of Daily Practice on Subitizing, Visual Counting, and Basic Arithmetic Skills. Fischer B, Köngeter A, Hartnegg K.

College of Optometrists in Vision Development. 2008:39(1):30-34.

Principles underlying the design of "The Number Race", an adaptive computer game for remediation of dyscalculia. Wilson, A.J., Dehaene, S., Pinel, P. et al. Behav Brain Funct 2, 19 (2006).

Foundational Numerical Capacities and the Origins of Dyscalculia. Butterworth, Brian Trends in Cognitive Sciences, Vol 14, pages 534–541, 2010

Dorsal and Ventral Processing Stream Articles

• Role of the dorsal stream in skilled reading. Younger, Jessica Renee Wise, University of Texas, 2018

Retrieved from

Developmental Differences for Word Processing in the Ventral Stream Olumide, Flowers, Napolielo, Eden, Guinevere F.Brain Lang. Author manuscript; available in PMC 2014 May 1.Published in final edited form as: Brain Lang. 2013 May; 125(2): 134–145. Published online 2012 May 5. doi: 10.1016/j.bandl.2012.04.003PMCID: PMC3426643

Dyscalculia and dyslexia: Different behavioral, yet similar brain activity profiles during arithmetic. NeuroImage: Clinical Volume 18, 2018, Pages 663-674

• . Stability and change in markers of core numerical competencies. Reeve, R., Reynolds, F., Humberstone, J., & Butterworth, B. (2012) Journal of Experimental Psychology: General, 141(4), 649-666. doi:10.1037/a0027520

Cognitive Metrics and their impact on Math

•Piazza, M., Facoetti, A., Trussardi, A. N., Berteletti, I., Conte, S., Lucangeli, D., . . . Zorzi, M. (2010).Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia. Cognition, 116(1), 33-41. doi:10.1016/j.cognition.2010.03.012

• Wilson, A. J., Revkin, S. K., Cohen, D., Cohen, L., & Dehaene, S. (2006). An open trial assessment of ‘‘the number race”, an adaptive computer game for remediation of dyscalculia. Behavioral Brain Function, 2, 20

•) Short-Term Memory, Working Memory, and Executive Functioning in Preschoolers: Longitudinal Predictors of Mathematical Achievement at Age 7 Years, Rebecca Bull, Kimberly Andrews Espy & Sandra A. Wiebe (2008 Developmental Neuropsychology, 33:3, 205-228, DOI: 10.1080/87565640801982312

• Phonological processing and arithmetic fact retrieval: Evidence from developmental dyslexia Bert De Smedt, Bart Boets, Neuropsychologia, V48, Issue 14, 2010, 3973-3981,ISSN 0028-3932

Language Expression Articles

Mathematics and English, Two Languages

How Seeing and Using Gestures Make Ideas More Memorable

The Shape of Things- The Origin of Young Children's Knowledge of the Names and Properties of Geometric Forms.pdf Verdine,B. ,J Cogn Dev. 2016 January 1;

What are Executive Functions and Self Regulation and What Do They have to do With Language -Learning Disorders? - Singer and Bashir

Decoding Drake's Dream Fall 2015

The micro-uniting of language permeates not just English classes, but every aspect of the [Landmark] program — every class at Landmark is, to some extent, a language class. Chris Woodin's pulley graphs and floor clocks are as much about language as about math since they get students to understand that problems must be sequenced in time in order to be solved — and sequencing, with its semantic emphasis on past, present, and future, is fundamentally the domain of language.

Assessment Devices and Other Templates