What Is a Pattern?: An Elementary Teacher's Early Efforts To Teach Mathematics for Understanding. NCRTL Craft Paper 95-1.
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| Title: | What Is a Pattern?: An Elementary Teacher's Early Efforts To Teach Mathematics for Understanding. NCRTL Craft Paper 95-1. |
|---|---|
| Language: | English |
| Authors: | Heaton, Ruth M., National Center for Research on Teacher Learning, East Lansing, MI. |
| Availability: | National Center for Research on Teacher Learning, 116 Erickson Hall, Michigan State University, East Lansing, MI 48824-1034 ($10.93). |
| Peer Reviewed: | N |
| Page Count: | 53 |
| Publication Date: | 1995 |
| Sponsoring Agency: | Office of Educational Research and Improvement (ED), Washington, DC. |
| Intended Audience: | Teachers; Practitioners |
| Document Type: | Opinion Papers |
| Descriptors: | Classroom Communication, Educational Change, Elementary School Mathematics, Elementary School Students, Grade 4, Graduate Study, Higher Education, Intermediate Grades, Mathematical Concepts, Mathematical Logic, Mathematics Instruction, Numeracy, Patterned Responses, Patterns in Mathematics, Perception, Reflective Teaching, Teaching Guides |
| Abstract: | After 10 years of teaching rule-driven, procedure-based, algorithm-oriented mathematics, an elementary teacher describes how she began to rethink her teaching style after returning to school for a graduate degree. Her rethinking is based on the first of four student teaching events that spanned an entire school year in which she used the Comprehensive School Mathematics Program (CSMP) and its pattern system. The start of her change was her recognition that the CSMP teaching guide was only a guide, not a step-by-step procedure to follow without deviance. After 3 years of teaching as a graduate student, she came to realize that mathematics is a science of patterns, and it is the search for these patterns that drives mathematicians. Understanding these patterns helps children understand mathematical relationships, not just find the right answer. Recognizing, describing, and creating a wide variety of patterns provides the foundation for exploring these relationships in numbers in later grades. By way of conclusion, Mark Twain's "Life on the Mississippi" is used to construct parallels between Twain's early learning experiences and the teacher's, mainly in the sense of his growing understanding of the nature of what he needed to learn and the usefulness of a text in doing the work. What the teacher took from her project was the need for a new sense of purpose, the questions she would need to ask, and an understanding of why this sense of purpose is important in the kind of math teaching she had been learning to do. (Contains 46 references.) (NAV) |
| Entry Date: | 1996 |
| Accession Number: | ED392790 |
| Database: | ERIC |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=ED392790 Name: ERIC Full Text Category: fullText Text: Full Text from ERIC |
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| Header | DbId: eric DbLabel: ERIC An: ED392790 AccessLevel: 3 PubType: Editorial & Opinion PubTypeId: editorialOpinion PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: What Is a Pattern?: An Elementary Teacher's Early Efforts To Teach Mathematics for Understanding. NCRTL Craft Paper 95-1. – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Heaton%2C+Ruth+M%2E%22">Heaton, Ruth M.</searchLink><br /><searchLink fieldCode="AR" term="%22National+Center+for+Research+on+Teacher+Learning%2C+East+Lansing%2C+MI%2E%22">National Center for Research on Teacher Learning, East Lansing, MI.</searchLink> – Name: Avail Label: Availability Group: Avail Data: National Center for Research on Teacher Learning, 116 Erickson Hall, Michigan State University, East Lansing, MI 48824-1034 ($10.93). – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: N – Name: Pages Label: Page Count Group: Src Data: 53 – Name: DatePubCY Label: Publication Date Group: Date Data: 1995 – Name: SourceSuprt Label: Sponsoring Agency Group: SrcSuprt Data: Office of Educational Research and Improvement (ED), Washington, DC. – Name: Audience Label: Intended Audience Group: Audnce Data: Teachers; Practitioners – Name: TypeDocument Label: Document Type Group: TypDoc Data: Opinion Papers – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Classroom+Communication%22">Classroom Communication</searchLink><br /><searchLink fieldCode="DE" term="%22Educational+Change%22">Educational Change</searchLink><br /><searchLink fieldCode="DE" term="%22Elementary+School+Mathematics%22">Elementary School Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Elementary+School+Students%22">Elementary School Students</searchLink><br /><searchLink fieldCode="DE" term="%22Grade+4%22">Grade 4</searchLink><br /><searchLink fieldCode="DE" term="%22Graduate+Study%22">Graduate Study</searchLink><br /><searchLink fieldCode="DE" term="%22Higher+Education%22">Higher Education</searchLink><br /><searchLink fieldCode="DE" term="%22Intermediate+Grades%22">Intermediate Grades</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Concepts%22">Mathematical Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Logic%22">Mathematical Logic</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Numeracy%22">Numeracy</searchLink><br /><searchLink fieldCode="DE" term="%22Patterned+Responses%22">Patterned Responses</searchLink><br /><searchLink fieldCode="DE" term="%22Patterns+in+Mathematics%22">Patterns in Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Perception%22">Perception</searchLink><br /><searchLink fieldCode="DE" term="%22Reflective+Teaching%22">Reflective Teaching</searchLink><br /><searchLink fieldCode="DE" term="%22Teaching+Guides%22">Teaching Guides</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: After 10 years of teaching rule-driven, procedure-based, algorithm-oriented mathematics, an elementary teacher describes how she began to rethink her teaching style after returning to school for a graduate degree. Her rethinking is based on the first of four student teaching events that spanned an entire school year in which she used the Comprehensive School Mathematics Program (CSMP) and its pattern system. The start of her change was her recognition that the CSMP teaching guide was only a guide, not a step-by-step procedure to follow without deviance. After 3 years of teaching as a graduate student, she came to realize that mathematics is a science of patterns, and it is the search for these patterns that drives mathematicians. Understanding these patterns helps children understand mathematical relationships, not just find the right answer. Recognizing, describing, and creating a wide variety of patterns provides the foundation for exploring these relationships in numbers in later grades. By way of conclusion, Mark Twain's "Life on the Mississippi" is used to construct parallels between Twain's early learning experiences and the teacher's, mainly in the sense of his growing understanding of the nature of what he needed to learn and the usefulness of a text in doing the work. What the teacher took from her project was the need for a new sense of purpose, the questions she would need to ask, and an understanding of why this sense of purpose is important in the kind of math teaching she had been learning to do. (Contains 46 references.) (NAV) – Name: DateEntry Label: Entry Date Group: Date Data: 1996 – Name: AN Label: Accession Number Group: ID Data: ED392790 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=ED392790 |
| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 53 Subjects: – SubjectFull: Classroom Communication Type: general – SubjectFull: Educational Change Type: general – SubjectFull: Elementary School Mathematics Type: general – SubjectFull: Elementary School Students Type: general – SubjectFull: Grade 4 Type: general – SubjectFull: Graduate Study Type: general – SubjectFull: Higher Education Type: general – SubjectFull: Intermediate Grades Type: general – SubjectFull: Mathematical Concepts Type: general – SubjectFull: Mathematical Logic Type: general – SubjectFull: Mathematics Instruction Type: general – SubjectFull: Numeracy Type: general – SubjectFull: Patterned Responses Type: general – SubjectFull: Patterns in Mathematics Type: general – SubjectFull: Perception Type: general – SubjectFull: Reflective Teaching Type: general – SubjectFull: Teaching Guides Type: general Titles: – TitleFull: What Is a Pattern?: An Elementary Teacher's Early Efforts To Teach Mathematics for Understanding. NCRTL Craft Paper 95-1. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: National Center for Research on Teacher Learning, East Lansing, MI. – PersonEntity: Name: NameFull: Heaton, Ruth M. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Type: published Y: 1995 |
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