4f8b06b195d1a6a5f700ef9ddb000c4d mathematics_a2021v9n19p246.pdf 5163a974824224d620ad0d4313aec46ff485e5c3 mathematics_a2021v9n19p246.pdf e480e75f9e98c3eada6317e2cf73536784e0f54e6a67f1d75d93a15930222e1d mathematics_a2021v9n19p246.pdf Title: Connecting Mathematics and Science in Primary School STEM Education: Modeling the Population Growth of Species Subject: In this research, we explored the potential of using a research-based teaching and learning sequence to promote pupils’ engagement in practices that are coherent with those of real world mathematical and scientific activity. This STEM (Science, Technology, Engineering and Mathematis) sequence was designed and implemented by pre-service teachers and science and mathematics education researchers with the aim of modeling the growth of a real population of rabbits. Results show explicit evidence of pupils’ engagement in relevant mathematical and scientific practices, as well as detailed descriptions of mathematical connections that emerged from those practices. We discuss how these practices and connections allowed the progressive construction of models, and the implications that this proposal may have for STEM task design and for the analysis of extra-mathematical connections. Keywords: connections; Fibonacci series; mathematical practices; scientific practices; STEM Author: Genaro de Gamboa, Edelmira Badillo, Digna Couso and Conxita Márquez Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Mon Oct 11 10:35:23 2021 CEST ModDate: Mon Oct 11 10:38:06 2021 CEST Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 22 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 11254733 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- XSXATW+URWPalladioL-Ital Type 1 Custom yes yes no 10 0 CEKAMX+URWPalladioL-Bold Type 1 Custom yes yes no 15 0 JZGMNE+URWPalladioL-Roma Type 1 Custom yes yes no 19 0 AIQCCL+VnURWPalladioL-Bold Type 1 Custom yes yes no 23 0 KORLVE+VnURWPalladioL Type 1 Custom yes yes no 28 0 DVTHKG+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 36 0 MCBCCI+SourceSansRoman-Regular Type 1C Custom yes yes no 58 0 MCBCCM+SourceSansRoman.613wght Type 1C Custom yes yes no 62 0 MCBCCO+SourceSansRoman-Bold Type 1C Custom yes yes no 66 0 GXMHVF+CMSY10 Type 1 Builtin yes yes no 78 0 JSLGPC+VnURWPalladioL-Italic Type 1 Custom yes yes no 231 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2022-03-10 03:05:33 CET RepresentationInformation: mathematics_a2021v9n19p246.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2022-02-03 13:13:26 CET Size: 11254733 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 442 FreeObjects: 25 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7b69c6ba Item: Title: Theoretical Framework Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@46daef40 Children: Item: Title: Mathematical and Scientific Practices Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12f41634 Item: Title: Connections within Mathematics and between Mathematic and Scientific Practices Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452 Item: Title: Methods Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@262b2c86 Children: Item: Title: Context of the Research Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec Item: Title: The Teaching and Learning Sequence “A Problem of Rabbits” Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@5ed828d Item: Title: Method of Analysis Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@50d0686 Item: Title: Results Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7a3d45bd Children: Item: Title: Mathematical and Scientific Practices Mobilised by Pupils Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1e7c7811 Children: Item: Title: Pupils’ Construction of the Key Idea that the Fibonacci Sequence Is Useful to Model the Ideal Growth of a Rabbit Population Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77ec78b9 Item: Title: Pupils’ Construction of the Key Idea that “The Fibonacci Sequence Is Not a Good-Enough Model to Describe and Explain the Growth of a Real Population of Rabbits” Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1a3869f4 Item: Title: Pupils’ Construction of the Key Idea that “The Population of a Species Fluctuates According to the Habitat Conditions, but Maintaining a Dynamic Equilibrium.” Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@a38d7a3 Item: Title: Pupils’ Construction of the Key Ideas that “Resources of the Environment Are Limited, and Rabbits May Compete with Other Rabbits and with Other Species” Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77f99a05 Item: Title: Pupils’ Construction of the Key Idea that “Conditions of the Environment and the Effect of Human Interventions Affect the Survival Probability and the Growth of any Population” Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@63440df3 Item: Title: Connections between Mathematical Ideas and between Mathematics and Science Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@3aeaafa6 Children: Item: Title: Intramathematical Connections Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@76a3e297 Item: Title: Extra-Mathematical Connections Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4d3167f4 Item: Title: Discussion Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@ed9d034 Item: Title: Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6121c9d6 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@87f383f Info: Title: Connecting Mathematics and Science in Primary School STEM Education: Modeling the Population Growth of Species Author: Genaro de Gamboa, Edelmira Badillo, Digna Couso and Conxita Márquez Subject: In this research, we explored the potential of using a research-based teaching and learning sequence to promote pupils’ engagement in practices that are coherent with those of real world mathematical and scientific activity. This STEM (Science, Technology, Engineering and Mathematis) sequence was designed and implemented by pre-service teachers and science and mathematics education researchers with the aim of modeling the growth of a real population of rabbits. Results show explicit evidence of pupils’ engagement in relevant mathematical and scientific practices, as well as detailed descriptions of mathematical connections that emerged from those practices. We discuss how these practices and connections allowed the progressive construction of models, and the implications that this proposal may have for STEM task design and for the analysis of extra-mathematical connections. Keywords: connections; Fibonacci series; mathematical practices; scientific practices; STEM Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Mon Oct 11 10:35:23 CEST 2021 ModDate: Mon Oct 11 10:38:06 CEST 2021 ID: 0x99091ef29b026fa2a7cb47801fc9d2ff, 0x99091ef29b026fa2a7cb47801fc9d2ff Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: JZGMNE+URWPalladioL-Roma FontSubset: true FirstChar: 2 LastChar: 241 FontDescriptor: FontName: JZGMNE+URWPalladioL-Roma Flags: Symbolic FontBBox: -166, -283, 1021, 943 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: AIQCCL+VnURWPalladioL-Bold FontSubset: true FirstChar: 161 LastChar: 161 FontDescriptor: FontName: AIQCCL+VnURWPalladioL-Bold Flags: Symbolic FontBBox: -152, -301, 1000, 935 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: JSLGPC+VnURWPalladioL-Italic FontSubset: true FirstChar: 161 LastChar: 226 FontDescriptor: FontName: JSLGPC+VnURWPalladioL-Italic Flags: Symbolic 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