Early Algebra : : Research into Its Nature, Its Learning, Its Teaching.
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Superior document: | ICME-13 Topical Surveys Series |
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TeilnehmendeR: | |
Place / Publishing House: | Cham : : Springer International Publishing AG,, 2016. Ã2016. |
Year of Publication: | 2016 |
Edition: | 1st ed. |
Language: | English |
Series: | ICME-13 Topical Surveys Series
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Online Access: | |
Physical Description: | 1 online resource (48 pages) |
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100 | 1 | |a Kieran, Carolyn. | |
245 | 1 | 0 | |a Early Algebra : |b Research into Its Nature, Its Learning, Its Teaching. |
250 | |a 1st ed. | ||
264 | 1 | |a Cham : |b Springer International Publishing AG, |c 2016. | |
264 | 4 | |c Ã2016. | |
300 | |a 1 online resource (48 pages) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
490 | 1 | |a ICME-13 Topical Surveys Series | |
505 | 0 | |a Intro -- Main Topics You Can Find in This ICME-13 Topical Survey -- Contents -- 1 Introduction -- 2 Survey of the State of the Art -- 2.1 Brief History of Early Algebra Movement and Its Research up to the Early 2000s -- 2.1.1 The Early Algebra Movement -- 2.1.2 The Development of Algebraic Thinking in the Early Grades: Some Examples -- 2.1.2.1 Generalizing Related to Patterning Activity -- 2.1.2.2 Generalizing Related to Properties of Operations and Numerical Structure -- 2.1.2.3 Representing Relationships Among Quantities -- 2.1.2.4 Introducing Alphanumeric Notation -- 2.1.3 Concluding Remarks: Early Algebra Research in Years Leading up to Early 2000s -- 2.2 Recent Research on Early Algebra Learning and Further Evolution of the Field -- 2.2.1 The Nature of Early Algebraic Thinking -- 2.2.2 Processes of Early Algebraic Thinking -- 2.2.3 Mathematical Content Areas of Early Algebraic Thinking -- 2.2.3.1 A Generalized Arithmetic Perspective on Content -- 2.2.3.2 A Functional Perspective on Content -- 2.2.4 Implications for Future Research -- 2.3 Bringing Early Algebra into Elementary Classrooms -- 2.3.1 The Nature of Early Algebraic Content in Classroom Contexts -- 2.3.2 Roles of Students and Teachers in Classrooms -- 2.3.3 What Can Happen in Classrooms in General? -- 2.3.4 Conclusion -- 2.4 A Neurocognitive Perspective on Early Algebra -- 2.4.1 Singapore Model Method to Solve Arithmetic and Algebra Problems -- 2.4.2 Different Methods Used to Solve Secondary Algebra Word Problems -- 2.4.3 Neuroimaging, the Model Method, and Algebra -- 2.4.4 Why Algebra May Be the More Resource Intensive of the Two Methods -- 2.4.4.1 The Transition to Letters as Unknowns Requires an Expansion of the Knowledge Related to the Use of Letters -- 2.4.4.2 Algebraic Expressions Are Legitimate Forms of Answers. | |
505 | 8 | |a 2.4.4.3 Algebraic Representations no Longer Adhere to the Same Set of Conventions Underpinning the Use of Numbers -- 2.4.4.4 Knowledge of Equality-Equivalence of Algebraic Expressions Is Crucial -- 2.4.5 Competent Adults and Children Process Arithmetic Information Differently -- 2.5 Concluding Remarks -- 3 Summary and Looking Ahead -- References -- Further Reading. | |
588 | |a Description based on publisher supplied metadata and other sources. | ||
590 | |a Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. | ||
655 | 4 | |a Electronic books. | |
700 | 1 | |a Pang, JeongSuk. | |
700 | 1 | |a Schifter, Deborah. | |
700 | 1 | |a Ng, Swee Fong. | |
776 | 0 | 8 | |i Print version: |a Kieran, Carolyn |t Early Algebra |d Cham : Springer International Publishing AG,c2016 |z 9783319322575 |
797 | 2 | |a ProQuest (Firm) | |
830 | 0 | |a ICME-13 Topical Surveys Series | |
856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=5588378 |z Click to View |