PUBLICATIONS

2019

EARLY IDENTIFICATION OF, AND INTERVENTIONS FOR, KINDERGARTEN STUDENTS AT RISK FOR MATHEMATICS DIFFICULTIES.

Penner, M., *Buckland, C., & *Moes, M. (2019). Early identification of, and interventions for, kindergarten students at risk for mathematics difficulties. In K. M. Robinson, H. Osana & D. Kotsopoulos (Eds.), Mathematical Learning and Cognition in Early Childhood: Integrating Interdisciplinary Research into Practice (pp. 57-78). New York, NY: Springer.

https://link.springer.com/chapter/10.1007%2F978-3-030-12895-1_5

2017

A COMMON NEURAL COMPONENT FOR FINGER GNOSIS AND MAGNITUDE COMPARISON.

Stewart, T. C., Penner-Wilger, M., *Waring, R. J., & Anderson, M. L. (2017). A common neural component for finger gnosis and magnitude comparison. In G. Gunzelmann, A. Howes, T. Tenbrink, & E. J. Davelaar (Eds.), Proceedings of the 39th Annual Conference of the Cognitive Science Society (pp. 1150–1155). Austin, TX: Cognitive Science Society.

https://mindmodeling.org/cogsci2017/papers/0222/paper0222.pdf

2017

ESTIMATION OF IMPORTANCE: SYMBOLIC AND NON-SYMBOLIC ORDINALITY AS PREDICTORS OF EXACT AND APPROXIMATE CALCULATION IN ADULTS.

*Waring, R. J., & Penner-Wilger, M. (2017). Estimation of importance: Symbolic and non-symbolic ordinality as predictors of exact and approximate calculation in adults. Journal of Numerical Cognition, 2, 202 - 219.

*Denotes student author

https://jnc.psychopen.eu/article/view/9

2015

COUNT ON DIVERSITY: THE COGNITIVE AND MATHEMATICAL PROFILES OF CHILDREN IN EARLY ELEMENTARY SCHOOL.

*Newton, A. T. & Penner-Wilger, M. (2015). Count on diversity: The cognitive and mathematical profiles of children in early elementary school. In D. C. Noelle, R. Dale, A. S. Warlaumont, J. Yoshimi, T. Matlock, C. D. Jennings, & P. P. Maglio (Eds.), Proceedings of the 37th Annual Conference of the Cognitive Science Society (pp. 1709-1714). Austin, TX: Cognitive Science Society.

*Denotes student author

https://mindmodeling.org/cogsci2015/papers/0297/paper0297.pdf

2014

SUBITIZING AND FINGER GNOSIS PREDICT CALCULATION FLUENCY IN ADULTS.

Penner-Wilger, M. & *Waring, R. J., & *Newton, A. T. (2014). Subitizing and finger gnosis predict calculation fluency in adults. In P. Bello, M. Guarini, M. McShane, & B. Scassellati (Eds.), Proceedings of the 36th Annual Conference of the Cognitive Science Society (pp. 1150-1155). Austin, TX: Cognitive Science Society.

https://escholarship.org/uc/item/4vv725r4

2014

SYMBIOTIC SYMBOLS: SYMBOLIC (BUT NOT NON-SYMBOLIC) NUMBER REPRESENTATION PREDICTS CALCULATION FLUENCY.

*Newton, A. T., *Waring, R. J., & Penner-Wilger, M. (2014). Symbiotic symbols: Symbolic (but not non-symbolic) number representation predicts calculation fluency in adults. In P. Bello, M. Guarini, M. McShane, & B. Scassellati (Eds.), Proceedings of the 36th Annual Conference of the Cognitive Science Society (pp. 2753-2758). Austin, TX: Cognitive Science Society.

*Denotes student author

https://escholarship.org/uc/item/5d78389g

2014

PUTTING TWO AND TWO TOGETHER: DECLINES IN ARITHMETIC FLUENCY AMONG YOUNG CANADIAN ADULTS.

LeFevre, J., Penner-Wilger, M., Pyke, A., Shanahan, T., Deslauriers, W. A., Trbovich, P., & Roberts, M. A. (2014). Putting two and two together: Declines in arithmetic fluency among young Canadian adults. Carleton University Cognitive Science Technical Report 2014-01. URL https://carleton.ca/ics/wp-content/uploads/CogSci-2014-01.pdf.

2013

THE RELATION BETWEEN FINGER GNOSIS AND MATHEMATICAL ABILITY: WHY REDEPLOYMENT OF NEURAL CIRCUITS BEST EXPLAINS THE FINDING.

Penner-Wilger, M. & Anderson, M. L. (2013). The relation between finger gnosis and mathematical ability: Why redeployment of neural circuits best explains the finding.  Frontiers in Theoretical and Philosophical Psychology, 4, 877.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3851991/

2011

THE RELATION BETWEEN FINGER GNOSIS AND MATHEMATICAL ABILITY: CAN WE ATTRIBUTE FUNCTION TO CORTICAL STRUCTURE WITH CROSS-DOMAIN MODELLING?

Penner-Wilger, M., & Anderson, M. L. (2011). The relation between finger gnosis and mathematical ability: Can we attribute function to cortical structure with cross-domain modeling? Proceedings of the 33rd Annual Cognitive Science Society (pp. 2445-2450). Austin, TX: Cognitive Science Society.

https://mindmodeling.org/cogsci2011/papers/0579/paper0579.pdf

2010

NEGATIVE NUMBERS IN SIMPLE ARITHMETIC.

*Das, R., LeFevre, J., & Penner-Wilger, M. (2010). Negative numbers in simple arithmetic. Quarterly Journal of Experimental Psychology, 63, 1943-1952.

*Denotes student author

https://tandfonline.com/doi/full/10.1080/17470210903564359

2010

KNOWLEDGE OF COUNTING PRINCIPLES: HOW RELEVANT IS ORDER IRRELEVANCE?

Kamawar, D., LeFevre, J., Bisanz, J., Fast, L., Skwarchuk, S., Smith-Chant, B. L., & Penner-Wilger, M. (2010). Knowledge of counting principles: How relevant is order irrelevance? Journal of Experimental Child Psychology, 105, 138-145.

https://doi.org/10.1016/j.jecp.2009.08.004

2010

PATHWAYS TO MATHEMATICS: LONGITUDINAL PREDICTORS OF PERFORMANCE.

LeFevre, J., Fast, L., Smith-Chant, B., Skwarchuk, S., Bisanz, J., Kamawar, D., & Penner-Wilger, M. (2010). Pathways to mathematics:  Longitudinal predictors of performance. Child Development, 81, 1753-1767.

http://www.jstor.org/stable/40925297

2009

SUBITIZING, FINGER GNOSIS, AND THE REPRESENTATION OF NUMBER.

Penner-Wilger, M., Fast, L., LeFevre, J., Smith-Chant, B. L., Skwarchuk, S., Kamawar, D., & Bisanz, J. (2009). Subitizing, finger gnosis, and the representation of number. Proceedings of the 31st Annual Cognitive Science Society (pp. 520-525). Austin, TX: Cognitive Science Society.

https://escholarship.org/uc/item/37c0j95f

2008

AN ALTERNATIVE VIEW OF THE RELATION BETWEEN FINGER GNOSIS AND MATH ABILITY: REDEPLOYMENT OF FINGER REPRESENTATIONS OF NUMBER.

Penner-Wilger, M., & Anderson, M. L. (2008). An alternative view of the relation between finger gnosis and math ability: Redeployment of finger representations for the representation of number. Proceedings of the 30th Annual Cognitive Science Society (pp. 1647-1652). Austin, TX: Cognitive Science Society.

https://pdfs.semanticscholar.org/cec3/b3d20ec358c8d317eee893e5ee64d2d28e1f.pdf

2008

READING FLUENCY: A BRIDGE FROM DECODING TO COMPREHENSION.

Penner-Wilger, M. (2008). Reading fluency: A bridge from decoding to comprehension. URL http://eps.schoolspecialty.com/downloads/research_papers/other/Fluency_Research.pdf.

2007

THE FOUNDATIONS OF NUMERACY: SUBITIZING, FINGER GNOSIA, AND FINE-MOTOR ABILITY.

Penner-Wilger, M., Fast, L., LeFevre, J., Smith-Chant, B. L., Skwarchuk, S., Kamawar, D., & Bisanz, J. (2007). The foundations of numeracy: Subitizing, finger gnosia, and fine-motor ability. In D. S. McNamara & J. G. Trafton (Eds.), Proceedings of the 29th Annual Cognitive Science Society (pp. 1385-1390). Austin, TX: Cognitive Science Society.

https://escholarship.org/uc/item/8vb45554

2006

DECOMPOSING THE MEAN: USING DISTRIBUTIONAL ANALYSES TO PROVIDE A DETAILED DESCRIPTION OF ADDITION AND MULTIPLICATION LATENCIES.

Penner-Wilger, M., & LeFevre, J. (2006). Decomposing the mean: Using distributional analyses to provide a detailed description of addition and multiplication latencies. Proceedings of the 28th Annual Conference of the Cognitive Science Society (pp. 1944-1949). Mahwah, NJ: Erlbaum.

https://beta.escholarship.org/uc/item/7769z6f1

2006

CALCULATION LATENCY: THE MU OF MEMORY AND THE TAU OF TRANSFORMATION.

Campbell, J. I. D., & Penner-Wilger, M. (2006). Calculation latency: The mu of memory and the tau of transformation. Memory & Cognition, 34, 217-226.

https://www.ncbi.nlm.nih.gov/pubmed/16686120

2006

SELECTION OF PROCEDURES IN MENTAL SUBTRACTION.

LeFevre, J., DeStefano, D., Penner-Wilger, M., & Daley, K. E. (2006). Selection of procedures in mental subtraction. Canadian Journal of Experimental Psychology, 60, 209-220.

https://www.ncbi.nlm.nih.gov/pubmed/17076436

2006

WHAT COUNTS AS KNOWING?THE DEVELOPMENT OF CONCEPTUAL AND PROCEDURAL KNOWLEDGE OF COUNTING FROM KINDERGARTEN TO GRADE 2.

LeFevre, J., Smith-Chant, B. L., Fast, L., Skwarchuk, S., Sargla, E., Arnup, J. S., Penner-Wilger, M., Bisanz, J., & Kamawar, D. (2006). What counts as knowing?  The development of conceptual and procedural knowledge of counting from kindergarten to grade 2. Journal of Experimental Child Psychology, 93, 285-303.

https://www.sciencedirect.com/science/article/pii/S0022096505001670

2004

THE HYBRID MODEL OF ARITHMETIC FACT SOLUTION: THE WHOLE IS MORE THAN THE SUM OF ITS PARTS.

Penner-Wilger, M. (2004). The hybrid model of arithmetic fact solution: The whole is more than the sum of its parts. Carleton University Cognitive Science Technical Report 2004-06. URL https://carleton.ca/ics/wp-content/uploads/2004-06.pdf.

2004

JUST THE FACTS: ON THE REPRESENTATION OF ARITHMETIC FACTS IN THE ADULT MIND/BRAIN.

Penner-Wilger, M. (2004). Just the facts: On the representation of arithmetic facts in the adult mind/brain. Carleton University Cognitive Science Technical Report 2004-05. URL https://carleton.ca/ics/wp-content/uploads/2004-05.pdf.

2002

DECOMPOSING THE PROBLEM-SIZE EFFECT: A COMPARISON OF RESPONSE TIME DISTRIBUTIONS ACROSS CULTURES.

Penner-Wilger, M., Leth-Steensen, C., & LeFevre, J. (2002). Decomposing the problem-size effect: A comparison of response time distributions across cultures. Memory & Cognition, 30, 1160–1167.

https://link.springer.com/article/10.3758/BF03194333

2002

DETERMINING THE LOCUS OF INDIVIDUAL DIFFERENCES IN MATHEMATICAL SKILL: A TRI-LEVEL HYPOTHESIS APPROACH.

Penner-Wilger, M. (2002). Determining the locus of individual differences in mathematical skill: A tri-level hypothesis approach. Carleton University Cognitive Science Technical Report 2002-09. URL https://ir.library.carleton.ca/pub/22368.

2002

DECOMPOSING THE MEAN IN THE PROBLEM-SIZE EFFECT: AN INVESTIGATION OF RESPONSE TIME DISTRIBUTIONS FOR A MULTIPLICATION PRODUCTION TASK.

Penner-Wilger, M., Leth-Steensen, C., Smith-Chant, B. L., & LeFevre, J. (2002). Decomposing the mean in the problem-size effect: An investigation of response time distributions for a multiplication production task. Carleton University Cognitive Science Technical Report 2002-04. URL https://carleton.ca/ics/wp-content/uploads/2002-04.pdf.

 

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