Heatmap and Hierarchical Clustering Analysis to Highlight Changes in Young Children’s Developmental Progressions Using Virtual Manipulative Mathematics Apps

Christina Lommatsch; Stephen Tucker; Patricia S. Moyer-Packenham; Juergen Symanzik

doi:10.1007/978-3-319-90179-4_10

Heatmap and Hierarchical Clustering Analysis to Highlight Changes in Young Children’s Developmental Progressions Using Virtual Manipulative Mathematics Apps

Christina Lommatsch, Stephen Tucker, Patricia S. Moyer-Packenham, Juergen Symanzik

Research output: A Conference proceeding or a Chapter in Book › Chapter

Abstract

The purpose of this study was to examine what patterns were revealed using heatmaps with hierarchical clustering to examine preschooler’s performance, speed, and developmental progressions in counting and seriation. The chapter describes a study conducted with 35 preschoolers who used six touchscreen virtual manipulative mathematics apps in two different learning sequences: counting and seriation. The analysis employed heatmaps coupled with hierarchical clustering to highlight changes in children’s performance, speed, and developmental progressions, between a pre- and post- assessment app after using two learning apps. This method allowed for analysis of individual and whole group data examining several tasks within each app and also several apps within each learning sequence. The analysis revealed different clusters of children grouped according to their developmental progressions which were related to incremental changes in performance and speed from the Pre to Post App use.

Original language	English
Title of host publication	Using Mobile Technologies in the Teaching and Learning of Mathematics
Editors	Nigel Calder, Kevin Larkin, Nathalie Sinclair
Publisher	Springer, Cham
Chapter	10
Pages	167-187
Number of pages	11
Volume	12
ISBN (Electronic)	9783319901794
ISBN (Print)	9783319901787
DOIs	https://doi.org/10.1007/978-3-319-90179-4_10
Publication status	Published - 2018
Externally published	Yes

Publication series

Name	Mathematics Education in the Digital Era

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10.1007/978-3-319-90179-4_10

https://link.springer.com/chapter/10.1007/978-3-319-90179-4_10

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Lommatsch, C., Tucker, S., Moyer-Packenham, P. S., & Symanzik, J. (2018). Heatmap and Hierarchical Clustering Analysis to Highlight Changes in Young Children’s Developmental Progressions Using Virtual Manipulative Mathematics Apps. In N. Calder, K. Larkin, & N. Sinclair (Eds.), Using Mobile Technologies in the Teaching and Learning of Mathematics (Vol. 12, pp. 167-187). ( Mathematics Education in the Digital Era). Springer, Cham. https://doi.org/10.1007/978-3-319-90179-4_10

Lommatsch, Christina ; Tucker, Stephen ; Moyer-Packenham, Patricia S. ; Symanzik, Juergen. / Heatmap and Hierarchical Clustering Analysis to Highlight Changes in Young Children’s Developmental Progressions Using Virtual Manipulative Mathematics Apps. Using Mobile Technologies in the Teaching and Learning of Mathematics. editor / Nigel Calder ; Kevin Larkin ; Nathalie Sinclair. Vol. 12 Springer, Cham, 2018. pp. 167-187 ( Mathematics Education in the Digital Era).

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title = "Heatmap and Hierarchical Clustering Analysis to Highlight Changes in Young Children{\textquoteright}s Developmental Progressions Using Virtual Manipulative Mathematics Apps",

abstract = "The purpose of this study was to examine what patterns were revealed using heatmaps with hierarchical clustering to examine preschooler{\textquoteright}s performance, speed, and developmental progressions in counting and seriation. The chapter describes a study conducted with 35 preschoolers who used six touchscreen virtual manipulative mathematics apps in two different learning sequences: counting and seriation. The analysis employed heatmaps coupled with hierarchical clustering to highlight changes in children{\textquoteright}s performance, speed, and developmental progressions, between a pre- and post- assessment app after using two learning apps. This method allowed for analysis of individual and whole group data examining several tasks within each app and also several apps within each learning sequence. The analysis revealed different clusters of children grouped according to their developmental progressions which were related to incremental changes in performance and speed from the Pre to Post App use.",

author = "Christina Lommatsch and Stephen Tucker and Moyer-Packenham, {Patricia S.} and Juergen Symanzik",

year = "2018",

doi = "10.1007/978-3-319-90179-4_10",

language = "English",

isbn = "9783319901787",

volume = "12",

series = " Mathematics Education in the Digital Era",

publisher = "Springer, Cham",

pages = "167--187",

editor = "Nigel Calder and Kevin Larkin and Nathalie Sinclair",

booktitle = "Using Mobile Technologies in the Teaching and Learning of Mathematics",

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Lommatsch, C, Tucker, S, Moyer-Packenham, PS & Symanzik, J 2018, Heatmap and Hierarchical Clustering Analysis to Highlight Changes in Young Children’s Developmental Progressions Using Virtual Manipulative Mathematics Apps. in N Calder, K Larkin & N Sinclair (eds), Using Mobile Technologies in the Teaching and Learning of Mathematics. vol. 12, Mathematics Education in the Digital Era, Springer, Cham, pp. 167-187. https://doi.org/10.1007/978-3-319-90179-4_10

Heatmap and Hierarchical Clustering Analysis to Highlight Changes in Young Children’s Developmental Progressions Using Virtual Manipulative Mathematics Apps. / Lommatsch, Christina; Tucker, Stephen; Moyer-Packenham, Patricia S.; Symanzik, Juergen.

Using Mobile Technologies in the Teaching and Learning of Mathematics. ed. / Nigel Calder; Kevin Larkin; Nathalie Sinclair. Vol. 12 Springer, Cham, 2018. p. 167-187 ( Mathematics Education in the Digital Era).

Research output: A Conference proceeding or a Chapter in Book › Chapter

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AB - The purpose of this study was to examine what patterns were revealed using heatmaps with hierarchical clustering to examine preschooler’s performance, speed, and developmental progressions in counting and seriation. The chapter describes a study conducted with 35 preschoolers who used six touchscreen virtual manipulative mathematics apps in two different learning sequences: counting and seriation. The analysis employed heatmaps coupled with hierarchical clustering to highlight changes in children’s performance, speed, and developmental progressions, between a pre- and post- assessment app after using two learning apps. This method allowed for analysis of individual and whole group data examining several tasks within each app and also several apps within each learning sequence. The analysis revealed different clusters of children grouped according to their developmental progressions which were related to incremental changes in performance and speed from the Pre to Post App use.

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Lommatsch C, Tucker S, Moyer-Packenham PS, Symanzik J. Heatmap and Hierarchical Clustering Analysis to Highlight Changes in Young Children’s Developmental Progressions Using Virtual Manipulative Mathematics Apps. In Calder N, Larkin K, Sinclair N, editors, Using Mobile Technologies in the Teaching and Learning of Mathematics. Vol. 12. Springer, Cham. 2018. p. 167-187. ( Mathematics Education in the Digital Era). https://doi.org/10.1007/978-3-319-90179-4_10