“Patterning” is a cognitive intervention that is unknown to psychologists, but has nevertheless been taught for half a century in nearly all kindergartens and many preschools in English-speaking countries. Patterning is the understanding that a certain rule governs the sequence of items in a series. At the simplest level, if the series has been red, tan, red, tan, red, tan, the next item should be red. More advanced patterns—“growing” geometric patterns and complex patterns of letters, numbers, and objects—have also been studied. Patterning is thought by educators to be a key cognitive ability that promotes academic achievement. However, its relative position in the hierarchy of cognitive developments is unknown. The present study showed that it is closely related to both transitivity and seriation, and that size transitivity problems best expressed the common factor that predicted patterning scores.
References
[1]
Burton, G. M. (1982) Patterning: Powerful Play. School Science and Mathematics, 82, 39-44. https://doi.org/10.1111/j.1949-8594.1982.tb17161.x
[2]
Clements, D. H., & Sarama, J. (2007a). Curriculum, Mathematics. In R. S. New, & M. Cochran (Eds.), Early Childhood Education: An International Encyclopedia (Vol. 1, pp. 193-198). Westport, CN: Praeger.
[3]
Clements, D. H., & Samara, J. (2007b). Early Childhood Mathematics Learning. In F. K. Lester Jr. (Ed.). Second Handbook on Mathematics Teaching and Learning (pp. 461-555). Charlotte, NC: Information Age.
[4]
Clements, D. H., & Sarama, J. (2007c). Effects of a Preschool Mathematics Curriculum: Summative Research on the Building Blocks Project. Journal for Research on Mathematics Education, 38, 136-163.
[5]
Clements, D. H., & Sarama, J. (2007d). Mathematics. In R. S. New, & M. Cochran (Eds.). Early Childhood Education: An International Encyclopedia (Vol. 2, pp. 502-509). Westport, CN: Praeger.
[6]
Clements, D. H., & Sarama, J. (2009). Learning and Teaching Early Math: The Learning Trajectories Approach. New York: Routledge.
[7]
Collins, M. A., & Laski, E. V. (2015). Preschoolers Strategies for Solving Visual Pattern Tasks. Early Childhood Research Quarterly, 32, 204-214. https://doi.org/10.1016/j.ecresq.2015.04.004
[8]
Duan, X., Wei, S., Wang, G., & Shi, J. (2010). The Relationship between Executive Functions and Intelligence on 11- to 12-Year-Old Children. Psychological Test and Assessment Modeling, 52, 419-431. http://www.psychologie-aktuell.com/fileadmin/download/ptam/4-2010_20101218/o5_Duan.pdf
[9]
Hendricks, C., Trueblood, L., & Pasnak, R. (2006). Effects of Teaching Patterning to First Graders. Journal of Research on Childhood Education, 21, 77-87. https://doi.org/10.1080/02568540609594580
[10]
Herman, M. L. (1973). Patterning before Mathematics in Kindergarten. Dissertation Abstracts International, 33, 4060.
[11]
Jarboe, T., & Sadler, S. (2003). It’s as Easy as 1,2,3: Patterns and Activities for a Creative, Balanced Mathematics Program. Peterborough, NJ: Crystal Springs Books.
[12]
Kidd, J. K., Carlson, A. G., Gadzichowski, K. M. , Boyer, C. E., Gallington, D. A., & Pasnak, R. (2013). Effects of Patterning Instruction on the Academic Achievement of First Grade Children. Journal of Research in Childhood Education, 27, 224-238. https://doi.org/10.1080/02568543.2013.766664
[13]
Kidd, J. K.,, Pasnak, R., Gadzichowski, K. M., Gallington, D. A., McKnight, P. E., Boyer, C. E., & Carlson, A. (2014). Instructing First-Grade Children on Patterning Improves Reading and Mathematics. Early Education and Development, 25, 134-151. https://doi.org/10.1080/10409289.2013.794448
[14]
Lee, K., Ng, S., Bull, R., Pe, M., & Ho, R. (2011). Are Patterns Important? An Investigation of the Relationships between Proficiencies in Patterns, Computation, Executive Functioning, and Algebraic Word Problems. Journal of Educational Psychology, 103, 269-281. https://doi.org/10.1037/a0023068
[15]
Leiser, D., & Gillieron, C. (1990). Cognitive Science and Genetic Epistemology: A Case Study of Understanding. New York: Plenum Press. https://doi.org/10.1007/978-1-4684-5649-3
[16]
McGarvey, L. M. (2012). What Is a Pattern? Criteria Used by Teachers and Young Children. Mathematical Thinking and Learning, 14, 310-337. https://doi.org/10.1080/10986065.2012.717380
[17]
Miller, M. R., Rittle-Johnson, B., Loehr, A. M., & Fyfe, E. R. (2015). The Influence of Relational Knowledge and Executive Function on Preschoolers’ Repeating Pattern Knowledge. Journal of Cognition and Development, 17, 85-104. https://doi.org/10.1080/15248372.2015.1023307
[18]
National Association for the Education of Young Children/National Council of Teachers of Mathematics Education (2002/2010). Early Childhood Mathematics Education: Promoting Good Beginnings. Washington DC: NYAEC.
[19]
National Council of Teachers of Mathematics (1993). Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades K-6. Reston, VA: NCTM.
[20]
National Governors Association Center for Best Practices (2010). Common Core State Standards. Washington DC: Council of Chief State School Officers.
[21]
Papic, M. M. (2007). Promoting Repeating Patterns with Young Children—More than Just Alternating Colors. Australian Primary Mathematics Classroom, 12, 8-13. http://www.aamt.edu.au/
[22]
Pasnak, R., Kidd, J. K., Gadzichowski, K. M., Gallington, D. A., Schmerold, K. L., & West, H. M. (2015). Abstracting Sequences: Reasoning That Is a Key to Academic Achievement. Journal of Genetic Psychology, 176, 171-193. https://doi.org/10.1080/00221325.2015.1024198
[23]
Piaget, J., & Inhelder, B. (1969). The Psychology of the Child (H. Weaver Trans.). New York, NY: Basic Books.
[24]
Piaget, J., & Inhelder, B. (1973). Memory and Intelligence (A. J. Pomeranz Trans.). New York, NY: Basic Books.
[25]
Rittle-Johnson, B., Fyfe, E. R., Hofer, K. G., & Farren, D. C. (2017) Early Math Trajectories: Low-Income Children’s Mathematics Knowledge from Ages 4 to 11. Child Development , 88, 1727-1742. https://doi.org/10.1111/cdev.12662
[26]
Schmerold, K. L. (2017). The Relations between Patterning, Executive Function, and Mathematics. The Journal of Psychology; Interdisciplinary and Applied, 151, 207-228. https://doi.org/10.1080/00223980.2016.1252708
[27]
Threlfall, J. (1999). Repeating Patterns in the Early Primary Years. In A. Orton (Ed.), Patterns in the Teaching and Learning of Mathematics (pp. 18-30). London: Cassell.
