Teacher-student interaction supporting students' creative mathematical reasoning during problem solving using Scratch
Studies have shown that learning mathematics through programming can be complex and that the programming itself might even hamper students' learning. However, few studies have focused on the role of the teacher and the teacher-student interaction that aims to support students' learning whe...
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Published in | Mathematical thinking and learning Vol. 26; no. 3; pp. 278 - 305 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Philadelphia
Routledge
02.07.2024
Taylor & Francis Ltd |
Subjects | |
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Abstract | Studies have shown that learning mathematics through programming can be complex and that the programming itself might even hamper students' learning. However, few studies have focused on the role of the teacher and the teacher-student interaction that aims to support students' learning when using programming. The present study examines a didactic design in which a teacher uses well-prepared questions and suggestions that focus on students' reasoning to solve mathematical problems using Scratch, a block-based programming environment. Forty students, 10-11 years old, solved a geometry problem using Scratch supported by their teacher. The students' screen activities and teacher-student interactions were recorded. The results indicate that well-prepared general and task-specific questions targeting students' creative reasoning can help to overcome some of the complexities of learning mathematics while programming. The study furthermore shows that when students have sufficient programming skills, Scratch could even have the potential to support their reasoning and at the same time guide the teacher to give timely feedback. |
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AbstractList | Studies have shown that learning mathematics through programming can be complex and that the programming itself might even hamper students’ learning. However, few studies have focused on the role of the teacher and the teacher-student interaction that aims to support students’ learning when using programming. The present study examines a didactic design in which a teacher uses well-prepared questions and suggestions that focus on stu- dents’ reasoning to solve mathematical problems using Scratch, a block-based programming environment. Forty students, 10–11 years old, solved a geometry problem using Scratch supported by their teacher. The students’ screen activities and teacher-student interactions were recorded. The results indicate that well-prepared general and task-specific questions targeting students’ creative reasoning can help to overcome some of the complexities of learning mathematics while programming. The study furthermore shows that when students have sufficient programming skills, Scratch could even have the potential to support their reasoning and at the same time guide the teacher to give timely feedback. Studies have shown that learning mathematics through programming can be complex and that the programming itself might even hamper students’ learning. However, few studies have focused on the role of the teacher and the teacher-student interaction that aims to support students’ learning when using programming. The present study examines a didactic design in which a teacher uses well-prepared questions and suggestions that focus on students’ reasoning to solve mathematical problems using Scratch, a block-based programming environment. Forty students, 10-11 years old, solved a geometry problem using Scratch supported by their teacher. The students’ screen activities and teacher-student interactions were recorded. The results indicate that well-prepared general and task-specific questions targeting students’ creative reasoning can help to overcome some of the complexities of learning mathematics while programming. The study furthermore shows that when students have sufficient programming skills, Scratch could even have the potential to support their reasoning and at the same time guide the teacher to give timely feedback. Studies have shown that learning mathematics through programming can be complex and that the programming itself might even hamper students' learning. However, few studies have focused on the role of the teacher and the teacher-student interaction that aims to support students' learning when using programming. The present study examines a didactic design in which a teacher uses well-prepared questions and suggestions that focus on students' reasoning to solve mathematical problems using Scratch, a block-based programming environment. Forty students, 10-11 years old, solved a geometry problem using Scratch supported by their teacher. The students' screen activities and teacher-student interactions were recorded. The results indicate that well-prepared general and task-specific questions targeting students' creative reasoning can help to overcome some of the complexities of learning mathematics while programming. The study furthermore shows that when students have sufficient programming skills, Scratch could even have the potential to support their reasoning and at the same time guide the teacher to give timely feedback. |
Author | Granberg, Carina Olsson, Jan |
Author_xml | – sequence: 1 givenname: Jan surname: Olsson fullname: Olsson, Jan email: jan.olsson@mdh.se organization: Umeå University – sequence: 2 givenname: Carina orcidid: 0000-0002-5607-213X surname: Granberg fullname: Granberg, Carina organization: Umeå University |
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References | e_1_3_4_42_1 e_1_3_4_7_1 e_1_3_4_40_1 e_1_3_4_5_1 e_1_3_4_23_1 e_1_3_4_46_1 e_1_3_4_21_1 e_1_3_4_44_1 e_1_3_4_27_1 Clark-Wilson A. (e_1_3_4_15_1) 2014; 1 e_1_3_4_25_1 e_1_3_4_29_1 Ainsworth S.E. (e_1_3_4_2_1) 1998 e_1_3_4_53_1 e_1_3_4_30_1 e_1_3_4_51_1 e_1_3_4_34_1 e_1_3_4_55_1 e_1_3_4_11_1 e_1_3_4_32_1 Boaler J (e_1_3_4_8_1) 2002; 22 e_1_3_4_38_1 e_1_3_4_36_1 e_1_3_4_19_1 Calder N. S. (e_1_3_4_13_1) 2009 D’Arcy D. (e_1_3_4_17_1) 2021 Schoenfeld A (e_1_3_4_48_1) 1985 e_1_3_4_20_1 e_1_3_4_41_1 e_1_3_4_6_1 e_1_3_4_45_1 e_1_3_4_22_1 e_1_3_4_28_1 e_1_3_4_49_1 Misfeldt M. (e_1_3_4_39_1) 2015 e_1_3_4_26_1 e_1_3_4_47_1 Teledahl A. (e_1_3_4_52_1) 2019 Balanskat A. (e_1_3_4_3_1) 2014 Hiebert J. (e_1_3_4_24_1) 2007 e_1_3_4_31_1 e_1_3_4_50_1 e_1_3_4_12_1 e_1_3_4_35_1 e_1_3_4_10_1 e_1_3_4_33_1 e_1_3_4_54_1 e_1_3_4_16_1 e_1_3_4_14_1 e_1_3_4_37_1 e_1_3_4_56_1 Ball D. (e_1_3_4_4_1) 2003 e_1_3_4_18_1 Olsson J. (e_1_3_4_43_1) 2018 Brennan K. (e_1_3_4_9_1) 2012 |
References_xml | – ident: e_1_3_4_55_1 doi: 10.1145/2771839.2771860 – ident: e_1_3_4_36_1 doi: 10.1007/978-3-319-93566-9_12 – ident: e_1_3_4_12_1 doi: 10.1007/978-3-319-24258-3_2 – ident: e_1_3_4_5_1 doi: 10.1145/1929887.1929905 – ident: e_1_3_4_19_1 doi: 10.1007/s10639-021-10776-w – ident: e_1_3_4_40_1 doi: 10.1007/s10648-007-9047-2 – ident: e_1_3_4_11_1 doi: 10.1023/B:JOST.0000019636.06814.e3 – ident: e_1_3_4_21_1 doi: 10.1177/0022487109339906 – ident: e_1_3_4_22_1 doi: 10.1016/j.jmathb.2014.11.001 – ident: e_1_3_4_31_1 doi: 10.15388/infedu.2018.17 – ident: e_1_3_4_34_1 doi: 10.1007/s11858-017-0867-3 – ident: e_1_3_4_14_1 doi: 10.15663/wje.v23i2.654 – ident: e_1_3_4_41_1 doi: 10.1109/EDUCON.2016.7474546 – ident: e_1_3_4_35_1 doi: 10.1016/j.chb.2014.09.012 – ident: e_1_3_4_37_1 doi: 10.11120/ital.2006.05040249 – volume-title: search of theories in Mathematics Education, Proceedings of the 33rd annual conference of the International Group for the Psychology of Mathematics Education year: 2009 ident: e_1_3_4_13_1 contributor: fullname: Calder N. S. – ident: e_1_3_4_54_1 doi: 10.17011/ht/urn.2005356 – ident: e_1_3_4_33_1 doi: 10.1007/s10649-007-9104-2 – volume: 22 start-page: 42 issue: 1 year: 2002 ident: e_1_3_4_8_1 article-title: The development of disciplinary relationships: Knowledge, practice and identity in mathematics classrooms publication-title: For the Learning of Mathematics contributor: fullname: Boaler J – ident: e_1_3_4_38_1 doi: 10.1016/j.learninstruc.2013.04.003 – start-page: 27 volume-title: A research companion to principles and standards for school mathematics year: 2003 ident: e_1_3_4_4_1 contributor: fullname: Ball D. – ident: e_1_3_4_56_1 doi: 10.1007/s10763-018-09939-y – ident: e_1_3_4_32_1 doi: 10.1007/s11858-011-0329-2 – ident: e_1_3_4_50_1 doi: 10.2307/749205 – volume-title: Mathematical problem-solving year: 1985 ident: e_1_3_4_48_1 contributor: fullname: Schoenfeld A – ident: e_1_3_4_6_1 doi: 10.1016/j.ijcci.2017.12.004 – ident: e_1_3_4_7_1 doi: 10.12973/eurasia.2015.1307a – ident: e_1_3_4_44_1 doi: 10.1007/s10758-018-9352-5 – ident: e_1_3_4_28_1 doi: 10.1016/j.jmathb.2014.08.003 – ident: e_1_3_4_23_1 doi: 10.1016/j.jmathb.2016.02.002 – volume-title: Perspectives on professional development of mathematics teachers. Proceedings of MADIF 11, (pp. 141-150) year: 2018 ident: e_1_3_4_43_1 contributor: fullname: Olsson J. – ident: e_1_3_4_27_1 doi: 10.1080/0020739X.2016.1192232 – volume-title: In U. T. Jankvist, M. van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education year: 2019 ident: e_1_3_4_52_1 contributor: fullname: Teledahl A. – start-page: (pp. 12 volume-title: Learning with Multiple Representations year: 1998 ident: e_1_3_4_2_1 contributor: fullname: Ainsworth S.E. – ident: e_1_3_4_20_1 doi: 10.26803/ijlter.17.12.2 – ident: e_1_3_4_51_1 doi: 10.21125/edulearn.2018.1359 – volume-title: Kreativa resonemang i matematikundervisningen: Forskningsrön i praktiken year: 2021 ident: e_1_3_4_17_1 contributor: fullname: D’Arcy D. – ident: e_1_3_4_26_1 doi: 10.1007/978-94-010-0273-8_11 – start-page: 2524 volume-title: In K. Krainer & N. Vondrová (Eds.), CERME 9: Ninth Congress of the European Society for Research in Mathematics Education year: 2015 ident: e_1_3_4_39_1 contributor: fullname: Misfeldt M. – ident: e_1_3_4_47_1 doi: 10.1007/978-1-4419-0146-0_9 – ident: e_1_3_4_25_1 doi: 10.1016/j.compedu.2020.103897 – ident: e_1_3_4_10_1 doi: 10.18260/1-2--3826 – volume-title: Computing our future: Computer programming and coding-Priorities, school curricula and initiatives across Europe year: 2014 ident: e_1_3_4_3_1 contributor: fullname: Balanskat A. – ident: e_1_3_4_16_1 doi: 10.1007/s11858-020-01196-0 – ident: e_1_3_4_29_1 doi: 10.15388/infedu.2014.03 – ident: e_1_3_4_18_1 doi: 10.1007/978-3-030-33824-4_10 – start-page: 371 volume-title: Second handbook of research on mathematics teaching and learning year: 2007 ident: e_1_3_4_24_1 contributor: fullname: Hiebert J. – ident: e_1_3_4_42_1 doi: 10.1016/j.jmathb.2019.03.008 – ident: e_1_3_4_45_1 doi: 10.1007/s40751-019-00051-6 – volume-title: Proceedings of the 2012 annual meeting of the American educational research association, Vancouver, Canada year: 2012 ident: e_1_3_4_9_1 contributor: fullname: Brennan K. – ident: e_1_3_4_53_1 doi: 10.18844/wjet.v12i4.5179 – volume: 1 start-page: 87 volume-title: Proceedings of the joint meeting of PME 38 and PME-NA 36 year: 2014 ident: e_1_3_4_15_1 contributor: fullname: Clark-Wilson A. – ident: e_1_3_4_46_1 doi: 10.1145/1592761.1592779 – ident: e_1_3_4_49_1 doi: 10.4324/9781315044613 – ident: e_1_3_4_30_1 doi: 10.1002/int.22931 |
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Snippet | Studies have shown that learning mathematics through programming can be complex and that the programming itself might even hamper students' learning. However,... Studies have shown that learning mathematics through programming can be complex and that the programming itself might even hamper students’ learning. However,... |
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SubjectTerms | creative reasoning Didactics Didaktik digital tools Learning mathematics education Mathematics teaching Problem solving Programming Programming environments Questions Reasoning Scratch Students Teacher Role Teacher Student Relationship Teacher-student interaction Teachers |
Title | Teacher-student interaction supporting students' creative mathematical reasoning during problem solving using Scratch |
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