scholarly journals Visual-spatial Skills and Mathematics Content Conceptualisation for Pre-service Teachers

2021 ◽  
Vol 4 (3) ◽  
pp. 223-241
Author(s):  
Chipo Makamure ◽  
Zingiswa M Jojo
Keyword(s):  
Spatial Orientation ◽  
Visual Information ◽  
Spatial Models ◽  
Spatial Skills ◽  
Mathematics Problems ◽  
Visual Spatial ◽  
Mathematical Problems ◽  
The Subject ◽  
And Mathematics ◽  
Coordinate Geometry

Empirical evidence in literature identified significant association between spatial ability and educational performance particularly in science, technology, engineering and mathematics (STEM). The purpose of this study was to explore pre-service teachers’ spatial skills in solving mathematics problems, in the context of coordinate geometry. It is envisaged that spatial skills allow for the perception of visual information and, therefore, spatial cognition has been considered as a key skill in teaching mathematics. However, literature asserts that teachers are ill prepared to teach mathematics, hence there is limited use and misuse of spatial skills in teaching the subject. This study, therefore, examines the spatial orientation of pre-service teachers in teaching coordinate geometry. This is a mixed methods study in which pre-service teachers answered a coordinate geometry test to explore their content knowledge and their ability to interpret, analyse and apply visual spatial models to solve mathematical problems in coordinate geometry. The study established that the spatial orientation skills of pre-service teachers determine their performance in mathematics, especially coordinate geometry.

Mathematics, anxiety, and the brain

2017 ◽  
Vol 28 (4) ◽  
pp. 417-429 ◽  
Author(s):  
Ahmed A. Moustafa ◽  
Richard Tindle ◽  
Zaheda Ansari ◽  
Margery J. Doyle ◽  
Doaa H. Hewedi ◽  
...  
Keyword(s):  
Learning Disabilities ◽  
Cognitive Processes ◽  
Mathematics Anxiety ◽  
Mathematics Learning ◽  
Brain Network ◽  
Spatial Skills ◽  
Mathematical Learning ◽  
Mathematical Problems ◽  
And Mathematics ◽  
The Relationship

AbstractGiven that achievement in learning mathematics at school correlates with work and social achievements, it is important to understand the cognitive processes underlying abilities to learn mathematics efficiently as well as reasons underlying the occurrence of mathematics anxiety (i.e. feelings of tension and fear upon facing mathematical problems or numbers) among certain individuals. Over the last two decades, many studies have shown that learning mathematical and numerical concepts relies on many cognitive processes, including working memory, spatial skills, and linguistic abilities. In this review, we discuss the relationship between mathematical learning and cognitive processes as well as the neural substrates underlying successful mathematical learning and problem solving. More importantly, we also discuss the relationship between these cognitive processes, mathematics anxiety, and mathematics learning disabilities (dyscalculia). Our review shows that mathematical cognition relies on a complex brain network, and dysfunction to different segments of this network leads to varying manifestations of mathematical learning disabilities.

scholarly journals Representasi Matematis Mahasiswa Calon Guru dalam Menyelesaikan Masalah Matematika

2017 ◽  
Vol 10 (1) ◽  
pp. 70 ◽  
Author(s):  
Erni Puji Astuti
Keyword(s):  
Prospective Teachers ◽  
Academic Ability ◽  
Mathematical Representation ◽  
Data Display ◽  
Snowball Sampling ◽  
Mathematics Problems ◽  
Mathematical Problems ◽  
The Subject ◽  
Media Experience

[Bahasa]: Penelitian ini bertujuan untuk mengetahui deskripsi representasi matematis mahasiswa calon guru dalam menyelesaikan masalah matematika. Metode yang digunakan adalah kualitatif dengan pendekatan studi kasus. Data yang dikumpulkan yaitu hasil pekerjaan mahasiswa yang berupa hasil vignette. Snowball sampling sebagai teknik pengambilan subjek. Subjek dalam penelitian ini adalah tiga mahasiswa semester 3 Program Studi Pendidikan Matematika Universitas Muhammadiyah Purworejo. Teknik yang digunakan untuk mengumpulkan data adalah dokumentasi. Data dianalisis melalui tahap reduksi data, penyajian data, menarik kesimpulan, dan verifikasi. Hasil penelitian ini menunjukkan bahwa subjek S1 dan S2 dengan kemampuan akademik tinggi dan sedang mempunyai kemampuan representasi matematis yang baik karena memenuhi semua indikator representasi matematis. Kemampuan representasi matematis subjek S3 dengan kemampuan akademik rendah masih kurang karena tidak memenuhi semua indikator. Kemampuan representasi matematis tidak hanya dipengaruhi oleh kemampuan akademik, tetapi dipengaruhi juga oleh faktor lain seperti penggunaan media, pengalaman, dan latihan dalam menyelesaikan masalah matematika. Kata kunci : Representasi Matematis; Calon Guru; Masalah Matematika; Vignette [English]: This case study aims to determine the description of the mathematical representation of prospective teachers in solving mathematical problems. The data collected is student’s work in the form of vignette results. Snowball sampling is as the technique of taking subjects. Subjects in this study are three students in the third semester mathematics education program of Muhammadiyah University of Purworejo. The technique used to collect data is documentation. The data is analyzed through data reduction, data display, conclusion, and verification. This study finds that the subject S1 and S2 with high and middle academic ability have good mathematical representation ability since they meet all the indicators of mathematical representation. While the mathematical representation of subject S3 with low academic ability is still less because S3 does not meet all of the indicators. The ability of the mathematical representation is not only influenced by academic ability, but also by other factors such as the use of media, experience, and drill in solving mathematics problems. Keywords: Mathematical Representation; Prospective Teacher; Mathematics Problems; Vignette

Working Memory and Number Sense as Predictors of Mathematical (Dis-)Ability

2015 ◽  
Vol 223 (2) ◽  
pp. 102-109 ◽  
Author(s):  
Evelyn H. Kroesbergen ◽  
Marloes van Dijk
Keyword(s):  
Working Memory ◽  
Learning Disabilities ◽  
Spatial Working Memory ◽  
Number Sense ◽  
Mathematical Learning ◽  
Visual Spatial ◽  
Mathematical Learning Disabilities ◽  
Visual Spatial Working Memory ◽  
And Mathematics

Recent research has pointed to two possible causes of mathematical (dis-)ability: working memory and number sense, although only few studies have compared the relations between working memory and mathematics and between number sense and mathematics. In this study, both constructs were studied in relation to mathematics in general, and to mathematical learning disabilities (MLD) in particular. The sample consisted of 154 children aged between 6 and 10 years, including 26 children with MLD. Children performing low on either number sense or visual-spatial working memory scored lower on math tests than children without such a weakness. Children with a double weakness scored the lowest. These results confirm the important role of both visual-spatial working memory and number sense in mathematical development.

Meet fractal curves with 1C:MathKit

2020 ◽  
pp. 38-48
Author(s):  
O. M. Korchazhkina
Keyword(s):  
Methodological Approach ◽  
Fractal Curve ◽  
Iterative Processes ◽  
Geometric Figures ◽  
Modern Natural ◽  
Geometric Objects ◽  
Ict Tools ◽  
Subject Areas ◽  
The Subject ◽  
And Mathematics

The article presents a methodological approach to studying iterative processes in the school course of geometry, by the example of constructing a Koch snowflake fractal curve and calculating a few characteristics of it. The interactive creative environment 1C:MathKit is chosen to visualize the method discussed. By performing repetitive constructions and algebraic calculations using ICT tools, students acquire a steady skill of work with geometric objects of various levels of complexity, comprehend the possibilities of mathematical interpretation of iterative processes in practice, and learn how to understand the dialectical unity between finite and infinite parameters of flat geometric figures. When students are getting familiar with such contradictory concepts and categories, that replenishes their experience of worldview comprehension of the subject areas they study through the concept of “big ideas”. The latter allows them to take a fresh look at the processes in the world around. The article is a matter of interest to schoolteachers of computer science and mathematics, as well as university scholars who teach the course “Concepts of modern natural sciences”.

STUDI DESKRIPTIF MINAT CALON GURU SEKOLAH DASAR TERHADAP PENGGUNAAN ALAT PERAGA MATEMATIKA SETELAH PERKULIAHAN MEDIA DAN MODEL PEMBELAJARAN MATEMATIKA SD

2015 ◽  
Vol 8 (1) ◽  
pp. 19
Author(s):  
Isna Rafianti ◽  
Etika Khaerunnisa
Keyword(s):  
Elementary Teachers ◽  
Elementary Mathematics ◽  
Mathematics Learning ◽  
Learning Model ◽  
Prospective Elementary Teachers ◽  
Descriptive Research ◽  
Learning Mathematics ◽  
Mathematical Problems ◽  
The Subject ◽  
Object Of Study

This research is motivated by the lack of interest of teachers in the use of props in the process of learning mathematics in elementary school. In accordance with the demands of the curriculum in 2013 and supported by the developed learning theory, learning mathematics is abstract object of study, students need an intermediary that props math-ematics, so that students can more easily understand the concepts that will be pre-sented, and in the end it can deliver students to solve mathematical problems, not only that proposed by the teacher but also the problems in life. The purpose of this study was to determine the interest of prospective elementary teachers on the use of props mathematics after getting lectures media and elementary mathematics learning model. By knowing the interest of prospective elementary teachers will be developed further realization of the state of the subject being studied. The method used is descriptive research, then the instruments used were questionnaires and interviews. The results of this study stated that the interest of prospective elementary teachers on the use of props after attending lectures media and elementary mathematics learning model is high over-all with a percentage of 76.70%.Keywords : Interest, Props Mathematics

PENGARUH METODE EKSPOSITORI TERHADAP PEMAHAMAN KONSEP MATEMATIKA MAHASISWA PGSD

2018 ◽  
Author(s):  
Daswarman Daswarman
Keyword(s):  
Research Design ◽  
Experimental Research ◽  
Mathematical Abilities ◽  
Learning Mathematics ◽  
Mathematical Problems ◽  
The Subject

The aim of learning mathematics in universities is to improve students' mathematical abilities. One of the important mathematical abilities of students is understanding the concept. With an understanding of the concept, students will easily solve mathematical problems. This research is an experimental research design with One Group Pretest-Posttest Design. In the design of this study, researchers used one class as the subject of research. Before being given treatment, the pretest is first performed, then given treatment within a certain period, then given a posttest. The results showed that there was an increase in students' understanding of the concept after being given the application of the expository method.

scholarly journals Bridging the gap: blending spatial skills instruction into a technology teacher preparation programme

2021 ◽  
Author(s):  
Diarmaid Lane ◽  
Sheryl Sorby
Keyword(s):  
Teacher Preparation ◽  
Gender Gap ◽  
Future Research ◽  
First Year ◽  
Spatial Skills ◽  
First Year Students ◽  
Base Level ◽  
Technology Teacher ◽  
And Mathematics ◽  
The Impact

AbstractIn recent years, there has been a surge in research in spatial thinking across the international community. We now know that spatial skills are malleable and that they are linked to success across multiple disciplines, most notably Science, Technology, Engineering and Mathematics (STEM). While spatial skills have been examined by cognitive scientists in laboratory environments for decades, current research is examining how these skills can be developed in field-based environments. In this paper, we present findings from a study within a Technology Teacher preparation programme where we examined first-year students’ spatial skills on entry to university. We explain why it was necessary to embed a spatial skills intervention into Year 1 of the programme and we describe the impact that this had on students’ spatial scores and on academic performance. The findings from our study highlight a consistent gender gap in spatial scores at the start of the first-year with female students entering the Technology Teacher preparation programme at a lower base level than male students. We describe how we integrated spatial development activities into an existing course and how an improvement in spatial scores and overall course performance was observed. The paper concludes by discussing the long-term sustainability of integrating spatial interventions within teacher preparation programmes while also highlighting the importance of future research to examine spatial skills as a fundamental component of technological capability.

scholarly journals Arithmetic Word Problems Revisited: Cognitive Processes and Academic Performance in Secondary School

2021 ◽  
Vol 11 (4) ◽  
pp. 155
Author(s):  
Gonzalo Duque de Blas ◽  
Isabel Gómez-Veiga ◽  
Juan A. García-Madruga
Keyword(s):  
Academic Performance ◽  
Word Problems ◽  
Spatial Reasoning ◽  
Deductive Reasoning ◽  
Executive Processes ◽  
Mathematical Operation ◽  
Visual Spatial ◽  
And Mathematics ◽  
The One ◽  
Memory Resources

Solving arithmetic word problems is a complex task that requires individuals to activate their working memory resources, as well as the correct performance of the underlying executive processes involved in order to inhibit semantic biases or superficial responses caused by the problem’s statement. This paper describes a study carried out with 135 students of Secondary Obligatory Education, each of whom solved 5 verbal arithmetic problems: 2 consistent problems, whose mathematical operation (add/subtract) and the verbal statement of the problem coincide, and 3 inconsistent problems, whose required operation is the inverse of the one suggested by the verbal term(s). Measures of reading comprehension, visual–spatial reasoning and deductive reasoning were also obtained. The results show the relationship between arithmetic problems and cognitive measures, as well as the ability of these problems to predict academic performance. Regression analyses confirmed that arithmetic word problems were the only measure with significant power of association with academic achievement in both History/Geography (β = 0.25) and Mathematics (β = 0.23).

scholarly journals Performance on the ROCF at 8 Years Predicts Academic Achievement at 16 Years in Individuals with Dextro-Transposition of the Great Arteries

2021 ◽  
pp. 1-8
Author(s):  
Matthew E. Fasano-McCarron ◽  
Jane Holmes Bernstein ◽  
Deborah P. Waber ◽  
Jane W. Newburger ◽  
David R. DeMaso ◽  
...  
Keyword(s):  
Academic Performance ◽  
Academic Outcomes ◽  
Academic Skills ◽  
Spatial Problem ◽  
Complex Figure ◽  
Visual Spatial ◽  
Dependent Variables ◽  
Individual Achievement ◽  
And Mathematics ◽  
Problem Solving Task

Abstract Objective: This study examined longitudinal associations between performance on the Rey–Osterrieth Complex Figure–Developmental Scoring System (ROCF-DSS) at 8 years of age and academic outcomes at 16 years of age in 133 children with dextro-transposition of the great arteries (d-TGA). Method: The ROCF-DSS was administered at the age of 8 and the Wechsler Individual Achievement Test, First and Second Edition (WIAT/WIAT-II) at the ages of 8 and 16, respectively. ROCF-DSS protocols were classified by Organization (Organized/Disorganized) and Style (Part-oriented/Holistic). Two-way univariate (ROCF-DSS Organization × Style) ANCOVAs were computed with 16-year academic outcomes as the dependent variables and socioeconomic status (SES) as the covariate. Results: The Organization × Style interaction was not statistically significant. However, ROCF-DSS Organization at 8 years was significantly associated with Reading, Math, Associative, and Assembled academic skills at 16 years, with better organization predicting better academic performance. Conclusions: Performance on the ROCF-DSS, a complex visual-spatial problem-solving task, in children with d-TGA can forecast academic performance in both reading and mathematics nearly a decade later. These findings may have implications for identifying risk in children with other medical and neurodevelopmental disorders affecting brain development.

Digital Native Students

2017 ◽  
Vol 7 (2) ◽  
pp. 13-26 ◽  
Author(s):  
Su-Ting Yong
Keyword(s):  
Gender Gap ◽  
Computer Games ◽  
Qualitative Interviews ◽  
Mathematics Learning ◽  
Spatial Abilities ◽  
Native Students ◽  
Digital Native ◽  
Spatial Skills ◽  
And Mathematics ◽  
The Many

The purpose of this study was to explore gender differences among digital native students in mathematics learning and gaming. A quantitative dominant mixed methods approach was employed in which quantitative surveys [174 students] and qualitative interviews [eight students, eight parents and six teachers] were administered concurrently. Data collected has revealed that students are characterized as digital natives and do not portray a significant gender gap in technology usage. Nevertheless, males and females tend to demonstrate their digital native characteristics differently. Males are more likely to play computer games and acknowledge the many benefits of gaming. Moreover, boys have better spatial skills and they are more confident in mathematics. While females still lag behind males in spatial abilities and mathematics confidence in the past, digital native females are not helping to close the gender gap. Essentially, girls could play more computer games to strengthen their spatial abilities.

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