scholarly journals Third Grade Students’ Use of Relational Thinking

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 187
Author(s):  
Marta Molina ◽  
Encarnación Castro
Keyword(s):  
Number Sense ◽  
Number System ◽  
Teaching Experiment ◽  
Third Grade ◽  
Relational Thinking ◽  
Arithmetic Properties ◽  
Third Grade Students ◽  
Decimal Number ◽  
Mathematics Curricula ◽  
Arithmetic Expressions

Current mathematics curricula have as one of their fundamental objectives the development of number sense. This is understood as a set of skills. Some of them have an algebraic nature such as acquiring an abstract understanding of relations between numbers, developing awareness of properties and of the structure of the decimal number system and using it in a strategic manner. In this framework, the term relational thinking directs attention towards a way of working with arithmetic expressions that promotes relations between their terms and the use of properties. A teaching experiment has allowed to characterize the way in which third grade students use this type of thinking for solving number equalities by distinguishing four profiles of use. These profiles inform about how students employ relations and arithmetic properties to solve the equalities. They also ease the description of the evolution of the use of relational thinking along the sessions in the classroom. Uses of relational thinking of different sophistication are distinguished depending on whether a general known rule is applied, or relations and properties are used in a flexible way. Results contribute to understanding the process of developing the algebraic component of number sense.

scholarly journals Developing Number Sense: An Approach to Initiate Algebraic Thinking in Primary Education

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 518
Author(s):  
Natividad Adamuz-Povedano ◽  
Elvira Fernández-Ahumada ◽  
M. Teresa García-Pérez ◽  
Jesús Montejo-Gámez
Keyword(s):  
Teaching And Learning ◽  
Number Sense ◽  
Methodological Approach ◽  
Number System ◽  
Algebraic Thinking ◽  
First Year ◽  
Symbolic Language ◽  
Decimal Number ◽  
Language Characteristic ◽  
Theoretical Foundations

Traditionally, the teaching and learning of algebra has been addressed at the beginning of secondary education with a methodological approach that broke traumatically into a mathematical universe until now represented by numbers, with bad consequences. It is important, then, to find methodological alternatives that allow the parallel development of arithmetical and algebraic thinking from the first years of learning. This article begins with a review of a series of theoretical foundations that support a methodological proposal based on the use of specific manipulative materials that foster a deep knowledge of the decimal number system, while verbalizing and representing quantitative situations that underline numerical relationships and properties and patterns of numbers. Developing and illustrating this approach is the main purpose of this paper. The proposal has been implemented in a group of 25 pupils in the first year of primary school. Some observed milestones are presented and analyzed. In the light of the results, this well-planned early intervention contains key elements to initiate algebraic thinking through the development of number sense, naturally enhancing the translation of purely arithmetical situations into the symbolic language characteristic of algebraic thinking.

Modeling 10-ness using Tech-knowledgy

2012 ◽  
Vol 18 (9) ◽  
pp. 574-578 ◽  
Author(s):  
Jennifer Suh ◽  
Padmanabhan Seshaiyer
Keyword(s):  
Number Sense ◽  
Number System ◽  
Place Value ◽  
Teaching Mathematics ◽  
Technology Knowledge ◽  
Knowledge For Teaching ◽  
Decimal Number

Foundational in understanding place value and our decimal number system, this concept is explored through a practiced-based activity designed to develop teachers' technology knowledge for teaching mathematics. The activity focuses on number sense using online applets and various related models and representations.

Fostering Relational Thinking while Negotiating the Meaning of the Equals Sign

2006 ◽  
Vol 13 (2) ◽  
pp. 111-117
Author(s):  
Marta Molina ◽  
Rebecca C. Ambrose
Keyword(s):  
Third Grade ◽  
Relational Thinking ◽  
Third Grade Students ◽  
Instructional Activities ◽  
Equals Sign ◽  
True False

How third-grade students developed an understanding of the equals sign and began to use relational thinking as they discussed true/false and open-number sentences. The sequence of instructional activities and children's responses to them are provided.

PENERAPAN MODEL PEMBALAJARAN KOOPERATIF TIPE QUICK ON THE DRAW UNTUK MENINGKATKAN MOTIVASI BELAJAR MATEMATIKA PADA MATERI PECAHAN SISWA KELAS III SDN 001 PAGARAN TAPAH DARUSSALAM KABUPATEN ROKAN HULU

2017 ◽  
Vol 6 (1) ◽  
pp. 165
Author(s):  
Maidar Maidar
Keyword(s):  
Action Research ◽  
Cooperative Learning ◽  
Learning Model ◽  
Third Grade ◽  
Motivation To Learn ◽  
Class Iii ◽  
Third Grade Students ◽  
Classroom Action Research

This study aims to determine whether there is an increased motivation to learn mathematics of third grade students of SDN 001 Pagaran Tapah Darussalam Rokan Hulu after application of cooperative learning model of quick on the draw. The problems of the research is "What type of cooperative learning model of application quick on the draw can Increase the motivation to learn mathematics 001 third grade students of SDN Pagaran Tapah Darussalam Rokan Hulu?" This research is a classroom action research conducted in SDN 001 Pagarah Tapah Darussalam. The subjects were students of class III is 31 students. Collecting the data in this study using sheets of observations made every meeting. Based on the results of this study concluded that using cooperative learning model of the type of quick on the draw can Increase the motivation to learn mathematics 001 third grade students of SDN Pagaran Tapah Darussalam Rokan Hulu.Keywords: cooperative quick on the draw, the motivation to learn math

VARIOUS PROBLEMS FOR TEACHING GEOMETRY TO THIRD GRADE STUDENTS

2018 ◽  
Vol 28 (3) ◽  
pp. 997-1003
Author(s):  
Gergana Hristova
Keyword(s):  
General Education ◽  
Third Grade ◽  
The European Union ◽  
School Year ◽  
Third Grade Students ◽  
Teaching Geometry ◽  
New Curriculum ◽  
Mathematical Problems ◽  
Key Competencies ◽  
Geometrical Knowledge

The knowledge on geometry are of great importance for the understanding of reality. Spatial notion and geometrical concepts, graphical skills and habits are an important part of the study of geometrical knowledge in elementary school as propedeutics of the system course on geometry in the next school levels. In the recent years, education in Bulgaria follows the trends imposed by the European Union related to the acquiring of some basic key competencies. They promote to the improvement of knowledge, skills, abilities and attitudes of students and their more successful social development. From the school year 2016/2017, the education in the Bulgarian schools is in accordance with the new Law on pre-school and school education. Under this law, students are teached under new curriculum and teaching kits for the corresponding class. According to the new curriculum, the general education of the students of I-IV grade, covers basic groups of key competencies. Here, much more attention is paid also to the results of international researches on the students’ performance in mathematics. Primary school students participate in international competitions and Olympiads, which lead to the need of working on more mathematical problems with geometric content of the relevant specific types. This allows to study and use author’s various mathematical problems for teaching geometry. Their purpose is to contribute to the expansion of space notions of the students, to develop their thinking and imagination. This article is dedicated to the application of author’s various mathematical problems and exercises for teaching students from the third grade through which the geometrical knowledge and skills of the students develop and build. The solving of the mathematical problems is realized on a rich visual-practical basis, providing conditions for inclusion of the students in various activities. The proposed various mathematical problems are developed by themes including fully geometric problems and exercises for teaching mathematics to third grade students. Teaching by using the various mathematical problems was held with 149 students from third grade, from five schools - three in Sofia and two in smaller towns, in the school year 2016/2017.

Third grade students' ideas about the lunar phases

1999 ◽  
Vol 36 (2) ◽  
pp. 159-177 ◽  
Author(s):  
Laura L. Stahly ◽  
Gerald H. Krockover ◽  
Daniel P. Shepardson
Keyword(s):  
Third Grade ◽  
Lunar Phases ◽  
Third Grade Students

scholarly journals Examining the Relations Between Self-Regulation and Achievement in Third-Grade Students

2016 ◽  
Vol 42 (2) ◽  
pp. 97-109 ◽  
Author(s):  
Stephanie L. Day ◽  
Carol McDonald Connor
Keyword(s):  
Academic Achievement ◽  
Working Memory ◽  
Inhibitory Control ◽  
Hierarchical Linear Modeling ◽  
Self Regulation ◽  
Scoring Systems ◽  
Third Grade ◽  
Linear Modeling ◽  
Third Grade Students ◽  
Study Results

Children with stronger self-regulation skills generally demonstrate greater overall success in school both academically and socially. However, there are few valid and reliable measures of self-regulation in middle elementary school. Such a measure could help identify whether a child is truly having difficulties. Thus, the Remembering Rules and Regulation Picture Task (RRRP) was developed. The aim of this study was to develop scoring systems for the RRRP and then to examine the associations between RRRP and independent measures of self-regulation and academic achievement in mathematics and reading. Children ( N = 282) from 34 third-grade classrooms in Florida participated in this study. Results revealed that the RRRP captured three constructs: working memory, attentional flexibility, and inhibitory control. Hierarchical linear modeling (HLM) demonstrated that the RRRP was significantly and positively associated with other measures of self-regulation. The RRRP was significantly and positively associated with mathematics and reading as well. The RRRP appears to be a promising measure of children’s self-regulation skills.

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