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Building Conceptual Understandings of Equivalence
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In: Boise State University Theses and Dissertations (2018)
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Abstract:
The equal sign is prevalent at all levels of mathematics however many students misunderstand the meaning of the equal sign and consider it an operational symbol for the completion of an algorithm (Baroody & Ginsburg, 1983; Rittle-Johnson & Alibali, 1999). Three constructs were studied through the lens of the Developing Mathematical Thinking (Brendefur, 2008), Relational Thinking, Spatial Reasoning and Modes of Representation. A review of literature was conducted to examine the effects of mathematics instruction on the development of students’ conceptual understanding of equivalence through the integration of spatial reasoning and relational thinking. The Developing Mathematical Thinking (DMT) curricular resources integrate Bruner’s enactive, iconic, and symbolic modes of representations (1966), using tasks designed to strengthen students’ spatial reasoning and relational thinking to develop mathematical equivalence. The research question “What is the effect of integrating iconic teaching methodology into mathematics instruction on first grade students’ relational thinking and spatial reasoning performance?” was analyzed to determine whether there was a significant difference in pre-and posttest scores for the two groups. Students were found to have a better opportunity to develop conceptual understanding of mathematics in their early years of school when taught with the progression of EIS, relational thinking and spatial reasoning.
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Keyword:
and Research; Curriculum and Instruction; Educational Assessment; Educational Methods; Elementary Education; equivalence; Evaluation; mathematical modeling; relational thinking; spatial reasoning
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URL: https://scholarworks.boisestate.edu/cgi/viewcontent.cgi?article=2472&context=td https://scholarworks.boisestate.edu/td/1416
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Creative writing of a Robinsonnade in elementary school ; Ancrage textuel et écriture créative d'une robinsonnade à l'école primaire
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In: Écritures créatives : représentations contemporaines, processus créatifs, nouveaux enjeux professionnels ; https://hal.archives-ouvertes.fr/hal-03175564 ; Écritures créatives : représentations contemporaines, processus créatifs, nouveaux enjeux professionnels, UCO, Jun 2018, ANGERS, France (2018)
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Untapped Resources: Students at Risk of Becoming Long Term English Learners and Identity
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In: Canillas, Jennifer. (2018). Untapped Resources: Students at Risk of Becoming Long Term English Learners and Identity. UC Riverside: Education. Retrieved from: http://www.escholarship.org/uc/item/8219c776 (2018)
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Save the Bees: How Engaging Students in Play Can Transform Learning Science
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In: Lee, Christine. (2018). Save the Bees: How Engaging Students in Play Can Transform Learning Science. UCLA: Education 0249. Retrieved from: http://www.escholarship.org/uc/item/5wm6q3pg (2018)
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An Examination of the Predictive Validity of Early Literacy Measures for Spanish-Speaking English Language Learners in First Grade
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In: Hatch, Abigail Ann. (2018). An Examination of the Predictive Validity of Early Literacy Measures for Spanish-Speaking English Language Learners in First Grade. UC Riverside: Education. Retrieved from: http://www.escholarship.org/uc/item/7wk2m8z7 (2018)
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Apprendre une langue, découvrir une culture : faire l'expérience d'un jeu social
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In: ISSN: 1954-3077 ; Recherches en éducation ; https://hal.archives-ouvertes.fr/hal-01870749 ; Recherches en éducation, Université de Nantes, 2018 (2018)
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A functional linguistics analysis of a mathematics register expressed through two languages
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In: Proceedings of the IV ERME Topic Conference 'Classroom-based research on mathematics and language' (pp. 57-64) ; https://hal.archives-ouvertes.fr/hal-01856477 ; Proceedings of the IV ERME Topic Conference 'Classroom-based research on mathematics and language' (pp. 57-64), Mar 2018, Dresde, Germany ; http://www.mathematik.uni-dortmund.de/~prediger/ERME/18-ETC4_Proceedings-Complete.pdf (2018)
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THE INFLUENCE OF KNOWLEDGE AND ATTITUDES OF ELEMENTARY SCHOOL STUDENTS NO.047174 KUTA RAYAT SUB DISTRICT NAMAN TERAN AGAINST EARTHQUAKE DISASTER PREPAREDNESS ...
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10 Key Policies and Practices for Teaching English Language Learners ...
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Prozessbegleitete Professionalisierungsmöglichkeiten für pädagogische Fachkräfte im Bereich sprachliche Bildung und Förderung ...
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Evaluating the feasibility of a group adapted shared reading emergent literacy intervention for children with ASD
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In: http://rave.ohiolink.edu/etdc/view?acc_num=kent1521551834193803 (2018)
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Collaboration Among Professionals Working with English Learners with Disabilities in a Newcomer School: A Case Study
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In: http://rave.ohiolink.edu/etdc/view?acc_num=akron1527103216058588 (2018)
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Linguistic Interactions of Spanish Speaking Mexican American Families
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In: Dissertations (2018)
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Mexican American Parents of Elementary Students and Literacy Engagement: A Case Study of a Bilingual (Spanish/English) Parent Book Club Using Children's Literature
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In: Dissertations (2018)
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Lehrer*insein in der Migrationsgesellschaft. Professionalisierung in einem widersprüchlichen Feld ; Being teacher in a migration society. Professionalization in a contradictional field
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In: Zeitschrift für interpretative Schul- und Unterrichtsforschung 7 (2018), S. 109-121 (2018)
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Integration des Themas Pilze in den Grundschulunterricht. Herausforderungen & Chancen ; Integration of funghi in elementary school class. Challenges and chances
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In: 2018, 65 S. - (Landau in der Pfalz, Universität Koblenz-Landau, Bachelor-Arbeit, 2018) (2018)
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Prozessbegleitete Professionalisierungsmöglichkeiten für pädagogische Fachkräfte im Bereich sprachliche Bildung und Förderung
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In: Jungmann, Tanja [Hrsg.]; Gierschner, Beate [Hrsg.]; Meindl, Marlene [Hrsg.]; Sallat, Stephan [Hrsg.]: Sprach- und Bildungshorizonte. Wahrnehmen - Beschreiben - Erweitern. Idstein : Schulz-Kirchner Verlag 2018, S. 211-217. - (Sprachheilpädagogik aktuell; 3) (2018)
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"Man wird hellhörig und merkt: Was sagt man eigentlich so den ganzen Tag?" - Coachings in der Sprachförderung
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In: Sprache im Beruf 1 (2018) 1, S. 113-124 (2018)
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Standpunkt Sprachenlernen in der Grundschule. Mehrsprachigkeit von Kindern fördern
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In: Gutzmann, Marion [Hrsg.]: Sprachen und Kulturen. Frankfurt am Main : Grundschulverband - Arbeitskreis Grundschule e.V. 2018, S. 12-14. - (Beiträge zur Reform der Grundschule; 146) (2018)
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The Effect of Reciprocal Mapping on Third-Grade Students’ Reading Comprehension Achievement and Reading Attitude
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In: ProQuest ETD Collection for FIU (2018)
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