Teaching with the Mathematical Practices in Mind
Saved in:
| Title: | Teaching with the Mathematical Practices in Mind |
|---|---|
| Language: | English |
| Authors: | Billings, Esther M. H., Coffey, David C., Golden, John |
| Source: | Mathematics Teaching in the Middle School. Sep 2013 19(2):100-107. |
| Availability: | National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/ |
| Peer Reviewed: | Y |
| Page Count: | 8 |
| Publication Date: | 2013 |
| Document Type: | Journal Articles Reports - Descriptive |
| Education Level: | Middle Schools |
| Descriptors: | Mathematics Instruction, Academic Standards, Workshops, Models, Middle Schools, Secondary School Mathematics, Mathematical Concepts, Mathematics Teachers, Faculty Development, Prior Learning, Protocol Analysis, Learner Engagement, Reflection |
| ISSN: | 1072-0839 |
| Abstract: | How can the use of the Standards for Mathematical Practice in the classroom be supported? Professional developers and teacher educators strive to support teachers as they seek to answer this question. When teachers personally and intentionally experience the practices and reflect on how the practices support and promote mathematical understanding, they will be better equipped to explore these same strategies with their own students in meaningful ways. The authors of this article believe that a workshop model is an effective vehicle for such support because it provides both mathematical learning and practice. They describe the workshop model and how it was used in a professional development context. They also explore how the model supported teachers' understanding of the Standards for Mathematical Practice, found in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010). Specifically, they indicate that there were many opportunities to experience Practice 1: Make sense of problems and persevere in solving them and Practice 3: Construct viable arguments and critique the reasoning of others (CCSSI 2010, p. 6). The authors also discuss ways to transfer this knowledge to the middle school classroom. The workshop model is an established form of instruction, extensively used in language arts (Cambourne 1988; Keene and Zimmermann 1997). Recently, it has been considered a viable approach in other disciplines, including mathematics and science (Heuser 2002). With its value in mind, they modified the literacy workshop to fit their vision of immersing learners in what it means to do mathematics. The authors' adaptation of the workshop model includes four key components: (1) making connections; (2) focus; (3) activity; and (4) reflection. These areas provide a deliberate structure for critical thinking. Each component is explained in detail herein. This model promotes understanding mathematics, connecting knowledge, and communicating this understanding through appropriate arguments, reasoning, and reflection. |
| Abstractor: | ERIC |
| Number of References: | 7 |
| Entry Date: | 2014 |
| Access URL: | https://www.nctm.org/publications/article.aspx?id=39252 |
| Accession Number: | EJ1029364 |
| Database: | ERIC |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: eric DbLabel: ERIC An: EJ1029364 AccessLevel: 3 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Teaching with the Mathematical Practices in Mind – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Billings%2C+Esther+M%2E+H%2E%22">Billings, Esther M. H.</searchLink><br /><searchLink fieldCode="AR" term="%22Coffey%2C+David+C%2E%22">Coffey, David C.</searchLink><br /><searchLink fieldCode="AR" term="%22Golden%2C+John%22">Golden, John</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="SO" term="%22Mathematics+Teaching+in+the+Middle+School%22"><i>Mathematics Teaching in the Middle School</i></searchLink>. Sep 2013 19(2):100-107. – Name: Avail Label: Availability Group: Avail Data: National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/ – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: Y – Name: Pages Label: Page Count Group: Src Data: 8 – Name: DatePubCY Label: Publication Date Group: Date Data: 2013 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Journal Articles<br />Reports - Descriptive – Name: Audience Label: Education Level Group: Audnce Data: <searchLink fieldCode="EL" term="%22Middle+Schools%22">Middle Schools</searchLink> – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Academic+Standards%22">Academic Standards</searchLink><br /><searchLink fieldCode="DE" term="%22Workshops%22">Workshops</searchLink><br /><searchLink fieldCode="DE" term="%22Models%22">Models</searchLink><br /><searchLink fieldCode="DE" term="%22Middle+Schools%22">Middle Schools</searchLink><br /><searchLink fieldCode="DE" term="%22Secondary+School+Mathematics%22">Secondary School Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Concepts%22">Mathematical Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Teachers%22">Mathematics Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Faculty+Development%22">Faculty Development</searchLink><br /><searchLink fieldCode="DE" term="%22Prior+Learning%22">Prior Learning</searchLink><br /><searchLink fieldCode="DE" term="%22Protocol+Analysis%22">Protocol Analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Learner+Engagement%22">Learner Engagement</searchLink><br /><searchLink fieldCode="DE" term="%22Reflection%22">Reflection</searchLink> – Name: ISSN Label: ISSN Group: ISSN Data: 1072-0839 – Name: Abstract Label: Abstract Group: Ab Data: How can the use of the Standards for Mathematical Practice in the classroom be supported? Professional developers and teacher educators strive to support teachers as they seek to answer this question. When teachers personally and intentionally experience the practices and reflect on how the practices support and promote mathematical understanding, they will be better equipped to explore these same strategies with their own students in meaningful ways. The authors of this article believe that a workshop model is an effective vehicle for such support because it provides both mathematical learning and practice. They describe the workshop model and how it was used in a professional development context. They also explore how the model supported teachers' understanding of the Standards for Mathematical Practice, found in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010). Specifically, they indicate that there were many opportunities to experience Practice 1: Make sense of problems and persevere in solving them and Practice 3: Construct viable arguments and critique the reasoning of others (CCSSI 2010, p. 6). The authors also discuss ways to transfer this knowledge to the middle school classroom. The workshop model is an established form of instruction, extensively used in language arts (Cambourne 1988; Keene and Zimmermann 1997). Recently, it has been considered a viable approach in other disciplines, including mathematics and science (Heuser 2002). With its value in mind, they modified the literacy workshop to fit their vision of immersing learners in what it means to do mathematics. The authors' adaptation of the workshop model includes four key components: (1) making connections; (2) focus; (3) activity; and (4) reflection. These areas provide a deliberate structure for critical thinking. Each component is explained in detail herein. This model promotes understanding mathematics, connecting knowledge, and communicating this understanding through appropriate arguments, reasoning, and reflection. – Name: AbstractInfo Label: Abstractor Group: Ab Data: ERIC – Name: Ref Label: Number of References Group: RefInfo Data: 7 – Name: DateEntry Label: Entry Date Group: Date Data: 2014 – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="https://www.nctm.org/publications/article.aspx?id=39252" linkWindow="_blank">http://www.nctm.org/publications/article.aspx?id=39252</link> – Name: AN Label: Accession Number Group: ID Data: EJ1029364 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ1029364 |
| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 100 Subjects: – SubjectFull: Mathematics Instruction Type: general – SubjectFull: Academic Standards Type: general – SubjectFull: Workshops Type: general – SubjectFull: Models Type: general – SubjectFull: Middle Schools Type: general – SubjectFull: Secondary School Mathematics Type: general – SubjectFull: Mathematical Concepts Type: general – SubjectFull: Mathematics Teachers Type: general – SubjectFull: Faculty Development Type: general – SubjectFull: Prior Learning Type: general – SubjectFull: Protocol Analysis Type: general – SubjectFull: Learner Engagement Type: general – SubjectFull: Reflection Type: general Titles: – TitleFull: Teaching with the Mathematical Practices in Mind Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Billings, Esther M. H. – PersonEntity: Name: NameFull: Coffey, David C. – PersonEntity: Name: NameFull: Golden, John IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 1072-0839 Numbering: – Type: volume Value: 19 – Type: issue Value: 2 Titles: – TitleFull: Mathematics Teaching in the Middle School Type: main |
| ResultId | 1 |
