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1. The relevance of role play to the learning of mathematics in the primary classroom

Author

Williams, Helen J., Crozier, Gill, and Gifford, Susan

Subjects
372.7
Abstract

This thesis reports on an investigation into the relevance of role play to the learning of mathematics. It is a case study of one Reception and one Year Four class during the academic year 2011-2012, where role play was used for children to explore mathematics that ‘made human sense’ (Donaldson 1978). This study is grounded in social constructivist theories of learning, seen as the product of interaction amongst members of communities. It starts from the theoretical perspective of play being a key medium for children’s learning, drawing on a body of literature positively linking play to young children’s development. It takes the view from accumulating educational research, that discussion and social interaction are significant in learning mathematics and that learners’ mathematical identities affect their engagement. The following questions were posed in this study: • What mathematics can be learned through role play? • What does mathematics learning look like in different role play contexts? • To what extent might role play affect the development of mathematical resilience, involvement and a positive attitude to the subject? • What particular classroom conditions positively affect mathematics learning through role play? • What adult intervention helps or hinders? Ontologically, this study considers participants’ interactions and behaviours and their interpretations of these, as central to a situation. In order to address these questions and reflect my views on knowledge, a qualitative, interpretative methodology was adopted for this study. The findings suggest that role play is useful for mathematical learning and that it is possible to engage in complex mathematics through role play. I argue that the potency of role play is its ability to suspend disbelief and engage children as participants in a community of learners. This study also concludes there is potential for developing children’s mathematical awareness and metacognition through reflecting on role play. Whilst the importance of reflection on learning is well established, how a child learns about themselves as a mathematician is under-researched. This study begins to consider this issue.

Published
2014

6. Contributors

Author

Abascal, Faustino, primary, Adams, Judith E., additional, Ahn, Joong Mo, additional, Albareda, Jorge, additional, Allen, Gina M., additional, Anavim, Arash, additional, Anderson, Mark W., additional, Anderson, Suzanne E., additional, Aparisi, Francisco, additional, Aparisi, Pilar, additional, Armfield, Derek R., additional, Atkins, Bridget, additional, Ballehr, Lisa O., additional, Baltazar, Romulo, additional, Bancroft, Laura W., additional, Barr, Michelle S., additional, Barron, D., additional, Baur-Melnyk, Andrea, additional, Beaman, Francesca, additional, Beltran, Javier, additional, Beltran, Luis S., additional, Bencardino, Jenny T., additional, Berquist, Thomas H., additional, Biervliet, M., additional, Blankenbaker, Donna G., additional, Bloem, Hans L., additional, Bolster, Marcy B., additional, Borghei, Peyman, additional, Boutin, Robert Downey, additional, Brouwer, Patrick A., additional, Bueno, Ángel, additional, Calleja, Michele, additional, Canga, Ana, additional, Cassar-Pullicino, Victor N., additional, Cavalcanti, Conrado F.A., additional, Cerezal, Luis, additional, Chastanet, Patrick, additional, Chen, Qi, additional, Cheung, Yvonne Y., additional, Cho, Aaron, additional, Chung, Christine B., additional, Coggins, Claire, additional, Cotten, Anne, additional, Courtens, Winnie, additional, Czerny, Christian, additional, Daffner, Richard H., additional, Davies, A. Mark, additional, Davis, Kirkland W., additional, del Cura, José Luis, additional, Delman, Bradley N., additional, De Maeseneer, Michel O., additional, De Schepper, Arthur M., additional, Dheer, Sachin, additional, Dominguez, Rodrigo, additional, Donati, Davide, additional, Elaini, A. Bassem, additional, El-Khoury, Georges Y., additional, Fang, Chris, additional, Farrant, J., additional, Fayad, Laura M., additional, Ferrer, Pilar, additional, Finden, Steven, additional, Flemming, Donald J., additional, Freyschmidt, Jürgen, additional, Gibson, Michael S., additional, Gilula, Louis A., additional, Gopez, Angela Gessner, additional, Gupta, Punita, additional, Haims, Andrew, additional, Harris, John H., additional, Hayes, Curtis W., additional, Haygood, Tamara Miner, additional, Higueras, Victoria, additional, Hofmann, Siegfried, additional, Hrehorovich, Peter A., additional, Hualde, Ana M., additional, Huysse, Wouter C.J., additional, Ilaslan, Hakan, additional, Jablonka, Karsten, additional, Jennings, Bryan T., additional, Johnson, Ann M., additional, Johnson, Karl, additional, Karantanas, Apostolos, additional, Karasick, David, additional, Katsivas, Theodoros, additional, Kavanagh, Eoin C., additional, Keats, Theodore E., additional, Khan, Shah H.M., additional, Kool, Digna R., additional, Koulouris, George, additional, Kramer, Josef, additional, Kroon, Herman M., additional, van Kuijk, Cornelis, additional, Lardenoye-Bröker, Susanne W.Y., additional, Ledermann, Hans Peter, additional, Lingg, Gerwin M., additional, Liu, Brandon Y., additional, Liu, Patrick T., additional, Llopis, Eva, additional, Ma, Calvin T., additional, Marcus, Matthew A., additional, Martel, José, additional, Marten, Paul, additional, Mathew, Manesh, additional, McCall, Iain W., additional, McNally, Eugene G., additional, Mellado, José M., additional, Miller, Theodore T., additional, Mintz, Douglas N., additional, Monu, Johnny U.V., additional, Moore, Sandra L., additional, Morrison, William B., additional, Mosher, Timothy J., additional, Mulligan, Michael E., additional, Murphey, Mark D., additional, Murphy, William A., additional, Nissman, Daniel B., additional, Nomikos, George C., additional, Obermann, Willem R., additional, O'Connor, Philip J., additional, Offiah, Amaka, additional, Oh, Richard J., additional, Omar, Imran M., additional, Opsha, Oleg, additional, Ostlere, Simon, additional, Owen, Joshua M., additional, Palmer, William E., additional, Padron, Mario, additional, Paruchuri, Narayan Babu, additional, Pathria, Mini N., additional, Paylor, Rogerich T., additional, Pfirrmann, Christian W., additional, Pharoah, Michael, additional, Philippon, Marc J., additional, Pope, Thomas Lee, additional, Probyn, Linda J., additional, Rafii, Mahvash, additional, Rankine, James J., additional, Rao, Nisha, additional, Rao, Vijay M., additional, Rider, Lisa Georgianne, additional, Roberts, Catherine C., additional, Rogers, Lee F., additional, Rolón, Alejandro U., additional, Rosenberg, Zehava Sadka, additional, Rosenbloom, Lorne, additional, Rosenthal, Daniel, additional, Rubin, David A., additional, Salgado, Rodrigo A., additional, Schenk, Barry, additional, Scheurecker, Anna, additional, Schils, Jean, additional, Schorn, Corinna, additional, Schweitzer, Mark E., additional, Sekiya, Jon K., additional, Shahabpour, Maryam, additional, Shankman, Steven, additional, Smith, Roger, additional, Snoeckx, Annemie, additional, Snyder, Travis G., additional, Som, Peter M., additional, Souillard, Raphaëlle, additional, Sprigg, Alan, additional, Spouge, Alison R.I., additional, Steinbach, Lynne S., additional, Sundaram, Murali, additional, Taljanovic, Mihra S., additional, Teh, James, additional, Tehranzadeh, Jamshid, additional, Tins, Bernhard Johannes, additional, Tshering, Dechen W., additional, Tuite, Michael J., additional, Umans, Hilary, additional, Vande Berg, Bruno C., additional, Vanhoenacker, Filip M., additional, van Rijswijk, Catharina S.P., additional, Verstraete, Koenraad L., additional, Watt, Iain, additional, White, Lawrence M., additional, Williams, Helen J., additional, Willits, Kevin R., additional, Wilson, David John, additional, Yacoub, Emad, additional, Yao, Lawrence, additional, Yu, Joseph S., additional, Zelenko, Natalie, additional, Zlatkin, Michael B., additional, and Zoga, Adam C., additional

Published
2008
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9. The principles for appropriate pedagogy in early mathematics: Exploration, apprenticeship and sense-making: Part 2.

Author

Gripton, Catherine and Williams, Helen J.

Subjects
*TEACHING methods, *MATHEMATICS education, *LEARNING, *CURRICULUM planning, *SCHOOL children, *EARLY childhood education
Abstract

In the article, the authors discuss the principles of teaching mathematics to pupils up to eight years old, particularly about exploration, apprenticeship and sense-making. Other topics include how children learn mathematics through play, how they communicate their mathematical thinking, and the strategies recommended by the Early Childhood Mathematics Group (ECMG).

Published
2023

10. The principles for appropriate pedagogy in early mathematics: Exploration, apprenticeship and sense-making. Part 1.

Author

Gripton, Catherine and Williams, Helen J.

Subjects
*MATHEMATICS education, *CHILDREN, *ELEMENTARY education, *DEVELOPMENTAL biology, *CONCEPT learning
Abstract

The article discusses the principles of effective and appropriate mathematics practice for children from birth to eight years. It is reported that the article has been divided into two parts, and the first part explores the underpinning principles of effective and appropriate mathematics practice. It further emphasizes the importance of developing mathematical thinking, knowledge, concepts, and behaviors that are appropriate for the child's age and developmental stage.

Published
2023

14. Playful mathematics.

Author

Williams, Helen J.

Subjects
*MATHEMATICS, *LEARNING
Abstract

A personal narrative is presented which explores the authors experience of learning mathematics playfully combining play and guidance.

Published
2022

15. Mathematics in the Early Years: What matters?

Author

WILLIAMS, HELEN J.

Subjects
*MATHEMATICS, *REASONING, *DEVELOPMENTAL psychology, *SPATIAL ability
Abstract

The article explores significant elements of research in relation to the relationship between number and quantity, and spatial reasoning, and the development of children's reasoning and mathematical thinking in relation to these big ideas. Topics discussed include significant development in the understanding of the early learning of number, and tips in supporting young children's number sense.

Published
2020

20. Automatic recall and executive functioning.

Author

Williams, Helen J.

Subjects
*MATHEMATICS education, *MATHEMATICAL ability, *CHILDREN, *ACADEMIC achievement, *SCHOOLS
Abstract

The article explores how to work positively with the contentious introduction of automatic recall for learners in the early years. It mentions that skills are critical for young children's learning and are predictive of later mathematics achievement, as well as wider school success. It also mentions that simple game aimed at developing numerical competencies can also work on developing important higher-order executive function skills.

Published
2021

23. Cardinality revisited: Recognising, understanding and trusting values.

Author

Trundley, Ruth and Williams, Helen J.

Subjects
*LEARNING theories in education, *INFORMATION resources, *PRESCHOOL children, *CARDINAL numbers, *EDUCATION students
Abstract

The article reports on impact shown on children learning due to several changes in use of resources. Topics include focuses on research into the development of counting in preschool children and importance of developing an understanding of cardinality; and considered that representation of augend and addend are important in supporting the children in study.

Published
2020

26. The development of young children's mathematical mark making.

Author

Davenall, Janine, Dowker, Ann, Williams, Helen J., Gripton, Catherine, and Gifford, Sue

Subjects
*MATHEMATICS education, *MATHEMATICAL notation, *SCHOOL children, *BASIC education, *COGNITIVE learning
Abstract

The article discusses the significance of young children's mathematical mark-making as a means of expressing and exploring mathematical thinking, emphasizing the use of informal marks and symbols. Topics include the value of mathematical mark-making, the transition from informal to formal symbols, supporting children's graphical representations through various contexts, and the benefits of developing mathematical graphicacy in young children.

Published
2023

28. Joni

Author

Williams, Helen J.

Subjects
Literature/writing
Abstract

Content not available due to copyright [...]

Published
1976

30. Wisconsin Republicans and Reconstruction, 1865-70

Author

Williams, Helen J. and Williams, Helen J.

Subjects
Politics and government, Wisconsin Politics and government., United States Politics and government 1865-1869., Wisconsin Politique et gouvernement., États-Unis Politique et gouvernement 1865-1869., United States., Wisconsin.
Published
1939

31. OPINION.

Author

Mansfield, Melian, Manners, Lala, Watts, Laura, Benson, Lesley, and Williams, Helen J

Published
2018

32. feedback.

Author

Young, Toby, Jamieson, Alison, and Williams, Helen J.

Subjects
*HISTORY teachers
Abstract

Tweets, or posts from the microblogging website Twitter, on several news such as "History teacher suspended after comparing Trump to Hitler" and "Wanted: mature recruits to join the old curmudgeons," are presented.

Published
2016

33. Gibb should try trading places with primary staff.

Author

Rath, Mike, Lawson, Deborah, Richards, Colin, Williams, Helen J., Smith, Laurie, and Plowes, Stewart

Subjects
*PRIMARY education, *EDUCATION policy, *BRITISH education system, *WORK-life balance
Abstract

Several letters to the editor are presented in response to articles in the previous issues including "This panic over primary assessment in nonsense" and "Massive upheaval will change schools' focus" in the February 26, 2016 issue and a response to Gordon Cairns' blog about parenting and teaching.

Published
2016

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