Early Mathematical Ability Research Articles

Pengaruh Pembelajaran CTL Dengan Kemampuan Awal Matematika Terhadap Pemahaman Konsep Matematis Siswa Sekolah Dasar

The purpose of this study was to determine whether there was an effect of CTL learning and conventional learning with early mathematics abilities on the understanding of the fourth grade students of SD Negeri 117471 Sibargot. The research method used was an experiment using pre-test and post-test control group design. Hypothesis testing in this study used a two-way analysis of variance (ANOVA) test with a significance level of α = 0.05. The results of this study indicate that the sig. for CTL (MP₁) and Conventional Learning (MP₂) is the result of tcount -2.911> ttable 2.002, so it can be concluded that H1 is accepted, which means that there is a significant influence of the learning model on understanding mathematical concepts; sig value. for Mathematical Initial Ability (KAM) with the result of tcount -6.434> ttable 2.002 shows that the mean of the first group, namely high initial ability (KAMt) is higher than the second group, namely low initial ability (KAMr), so it can be concluded that H2 is accepted, which means that there is an influence. significant initial ability to understand mathematical concepts; sig value. for the effect of the Learning Method and KAM simultaneously on understanding mathematical concepts with the results of the value of Fcount 24.933> Ftable 3.16. So it can be concluded that H3 is accepted, which means that there is an effect of learning methods and Early Ability simultaneously on understanding mathematical concepts.

The Effectiveness of Touch Math on Improving Early Mathematics Ability of Kindergarten Children with Mild to Borderline Intellectual Functioning in an Inclusion Classroom

Touchmath®, also known as Touchpoint, is a multi-sensory method that involves visual, auditory, and tactile learning, and it can be used effectively with children with disabilities. It has successfully solved addition and subtraction problems with a single digit and two digits, specifically for children with disabilities. Six children participated. A multiple baseline design was used. The Test of Early Mathematics Ability was employed. The findings revealed that the touch math training program effectively improved the Early Mathematics Ability of each participant. All six children were found to be successful at the end of the teaching session compared to the baseline. The finding that Touchmath® showed positive effects based on a direct teaching approach in improving the Early Mathematics Ability of kindergarten children with mild to borderline intellectual functioning and their typically developing peers in an inclusion classroom is effective, sustainable, generalizable, and socially valid in teaching basic addition skills to students with mild intellectual disabilities in general education classrooms, conforms to other research conclusions in the literature.

Habilidades matemáticas tempranas en niños chilenos con Trastorno del Desarrollo del Lenguaje: Un estudio comparativo

En las últimas décadas se ha incrementado el interés de las investigaciones respecto a las dificultades académicas que presentan los niños con Trastorno del Desarrollo del Lenguaje (TDL). No obstante, su relación con las habilidades matemáticas es una de las menos estudiadas. El objetivo de este estudio consistió en determinar si existen diferencias relevantes entre las habilidades matemáticas tempranas de niños con TDL y con desarrollo típico (DT). Participaron 78 niños de 4 a 7 años 11 meses de edad, pertenecientes a colegios con programas de integración escolar de Santiago de Chile. Se conformó un grupo de 44 niños con TDL y un grupo de 34 con DT. Se establecieron comparaciones del rendimiento en tareas matemáticas pertenecientes a la versión en español del Test de Evaluación Matemática Temprana de Utrecht (TEMT-U): subtest relacionales (comparación, clasificación, correspondencia uno a uno y seriación), y subtest numérico (conteo verbal, conteo estructurado, conteo resultante y conocimiento general de los números); hallándose un rendimiento matemático significativamente menor en el grupo con TDL de educación infantil en ambos subtest. Los hallazgos sugieren que las dificultades propias de los niños con TDL impactan el aprendizaje matemático, especialmente en los niños más pequeños, por lo que resulta imperante disminuir las barreras que obstaculizan su proceso de aprendizaje.

Implementation of Mathematics Learning-Assisted Cabri 3D Software to Improve Spatial Ability of High School Students on Three Dimensional Geometry

The purpose of this study to analyze student’s spatial abilities to resolve 3D geometry problems through mathematics learning-assisted using Cabri 3D software. The population in this study were students from one of High School Student in Kuningan, West Java. Selection of sample by purposed random sampling, the experimental class is taught mathematics learning-assisted using Cabri 3D, while the control class is taught by conventional learning. This study was quasi-experimental with pretest and posttest control group design. Data analysis using two way anova by linking between learning model with gender factor and early mathematical abilities (KAM). Based on the results; (1) The enhancement of student’s spatial abilities through Cabri 3D was higher than the conventional learning; (2) based on gender, there were no significant effect of student’s spatial abilities who exposed with Cabri 3D and conventional learning; (3) based on KAM, there was significant effect of student’s spatial abilities among ability of high, middle, and low KAM. The differences occur between high, middle and low KAM. (4) based on the questionnaire results, students ‘responses to the positive Cabri 3D positive model, as much as 73.85% agree that learning Cabri 3D can improve understanding, interest and students’ abilities to learn the concept of 3 dimensional geometry. Based on this result, mathematics learning-assisted Cabri 3D can be applied in the process of mathematics learning in high School.

The Effect of Learning Model and Early Mathematical Ability on Mathematical Critical Thinking Skill of Students

Penelitian ini bertujuan untuk menganalisis pengaruh model pembelajaran dan kemampuan awal matematiks serta interaksi antara model pembelajaran dan kemampuan awal matematis terhadap kemampuan berpikir kritis matematis siswa. Penelitian ini merupakan penelitian kuantitatif dengan metode eksperimen semu. Populasi penelitian ini adalah seluruh siswa SMP Negeri 1 Tambangan semester ganjil tahun pelajaran 2019/2020 yang berjumlah 160 siswa dalam 6 kelas. Teknik pengambilan sampel dalam penelitian ini menggunakan teknik Probability Sampling. Jenis pengambilan sampel adalah Simple Random Sampling. Sampel penelitian dipilih dari dua kelas, yaitu kelas VIII-1 yang terdiri dari 26 siswa yang mendapat perlakuan model discovery learning, dan kelas VIII-2 yang terdiri dari 26 siswa yang diberi pembelajaran biasa. Instrumen penelitian menggunakan tes kemampuan berpikir kritis matematis. Uji statistik data menggunakan Uji ANAVA dua jalur. Hasil penelitian menunjukkan bahwa model pembelajaran dan kemampuan awal matematis berpengaruh positif terhadap kemampuan berpikir kritis matematis siswa, dan tidak terdapat interaksi antara model pembelajaran dan kemampuan awal matematis.

The Differences in Communication Ability and Mathematical Disposition of Students who are given a Geogebra- Assisted Contextual Learning Model and the Cooperatif Learning Model

This study aims to: (1) analyze the differences in mathematical dispositions between students who are given a contextual learning model assisted by Geogebra and students who are given a model of cooperatif learning assisted by Geogebra at SMK Harapan Mekar 1 Medan, (2) analyze the interaction between learning and early mathematics ability (high, moderate, low) students towards improving students' mathematical communication skills at SMK Harapan Mekar 1 Medan, (3) analyzing the interaction between learning and the initial mathematics ability (high, medium, low) of students towards improving the mathematical disposition of students at SMK Harapan Mekar 1 Medan. The population of this study were all students of SMK Harapan Mekar 1 Medan in class X majoring in Automotive Mechanics and Computer Engineering. Samples were taken randomly from 6 classes, Students were selected as a sample of 2 classes, namely class X-2 as the experimental class I which was given the contextual learning model assisted by Geogebra and class X-3 as the experimental class 2 which was given the cooperative learning model assisted by Geogebra, with a total of 64 students. Data were analyzed using descriptive statistical analysis through two-way analysis. The results of this study indicate that: (1) There are differences in mathematical communication skills between students who are given a contextual learning model assisted by Geogebra and students who are given a cooperative learning model, (2) there are differences in mathematical disposition between students who are given a contextual learning model assisted by Geogebra and students who given a cooperative learning by Geogebra.

The relationship between preschool teachers pedagogical content knowledge in mathematics, childrens' math ability and liking

This study attempts to identify preschool teachers' pedagogical content knowledge levels in mathematics and to examine its effect on preschool children's mathematics ability and their liking of mathematics. The study utilised the relational survey model, one of the general survey models. The working group was composed of 600 children aged 54-66 months old and a total of 150 teachers. The study employed three data collection tools: with the 'Preschool Teachers' Pedagogical Content Knowledge Scale regarding Mathematics' and the 'Mathematics Liking Scale for Children' developed by the researchers; 'Early Mathematics Ability Test' to determine children's mathematics ability. The data were analysed using IBM's SPSS 22 statistical package. The correlation analysis results suggested that there were no significant relationships between teachers' pedagogical content knowledge in mathematics, children's mathematics ability, and their liking of mathematics, while a positive and significant relationship was found between children's mathematics ability and their liking of mathematics.

PENGARUH MODEL PROBLEM BASED LEARNING TERHADAP KEMAMPUAN REPRESENTASI MATEMATIS SISWA DAN ADVERSITY QUOTIENT

This study aims to determine: (1) whether there is a significant effect between learning (problem based learning and conventional) on students 'mathematical representation abilities, (2) whether there is a significant effect between learning (problem based learning and conventional) on students' adversity quotient. , (3) whether there is an interaction between learning (problem based learning and conventional) and Early Mathematics Ability to students 'representational abilities, (4) is there an interaction between learning (problem based learning and conventional) and Early Mathematics Ability to students' adversity quotient. This research is a quasiexperimental research. The sample was selected by cluster random sampling consisting of two classes. The data obtained were analyzed using two-way ANOVA in the SPSS 20 program. The results showed that: 1) there was a significant effect between learning (problem based learning and conventional) on students' mathematical representation abilities, 2) there was a significant effect between learning (problem based learning and conventional) on students' adversity quotient, 3) there is an interaction between learning (problem based learning and conventional) and Early Mathematics Ability to student representation skills 4) there isn’t an interaction between learning (problem based learning and conventional) and Early Mathematics Ability to adversity quotient

Increasing self-regulated learning of elementary school students through the concrete-pictorial-abstract approach during the COVID-19 pandemic

<span>This research was motivated by limited self-regulated learning (SRL) in elementary school students. The aim of this research was to understand the increase in SRL of elementary school students apply the Concrete-Pictorial-Abstract (CPA) approach which was reviewed as a whole and based on Early Mathematical Ability (EMA) during the COVID-19. This study was applied with a quasi-experimental method through a nonequivalent control group. Determination of the sample through purposive sampling on fifth-grade elementary school students in Central Jakarta. The sample coincide of 27 students each for the CPA and the conventional class. Measurement through a scale of SRL. This research informs the students' SRL on CPA learning that is significantly better than SRL with conventional approach reviewed as a whole and in the medium EMA group., however, based on the high and low EMA groups, SRL students who received CPA learning were not significantly better than those with conventional learning.</span>

Pengaruh Pendekatan Realistic Mathematics Education (RME) Terhadap Kemampuan Pemahaman Matematis Ditinjau Dari Kemampuan Awal Matematis Siswa

This research is motivated by the low ability of junior high school students' mathematical understanding and there are still students who are passive in the learning process. The learning approach can direct students to be active in the learning process, the approach taken is the Realistic Mathematics Education (RME) approach. Based on previous relevant research, it was stated that with the realistic mathematics education (PMR) approach, the increase in learning was higher than students who received regular learning at all students and all school levels. The research population was all students of SMP Mathla'ul Anwar Global School 2019/2020 academic year and the research sample was class VII with the design of The Randomized Pretest-Posttest Control Group Design, making two groups randomly, namely the experimental group and the control group by giving two different treatments. different. This study aims to determine: 1. Knowing the mathematical understanding ability of students who use the RME approach is better than students who use the scientific approach. 2. Determine whether there is an interaction between the learning approach and the initial mathematical ability (high, medium, low) on students' mathematical understanding abilities. The results showed: 1. The mathematical understanding ability of students who used the RME approach was better than students who used the scientific approach. 2. There is no interaction between the learning approach and early mathematical abilities (high, medium, low) on students' mathematical understanding abilities.

THE EFFECTIVENESS OF GEOGEBRA-BASED VAN HIELE MODEL ON MATHEMATICAL DISPOSITION ASSESSED FROM EARLY MATHEMATICS ABILITY

The aim of this research was to observe the effectiveness of geogebra based van hiele model on mathematical disposition assessed from early mathematics ability. The accessible population of the present study was students of Prof. DR. HAMKA Muhammadiyah University. Samples of this research is semester two students from mathematics education program. Due to the happening Covid-19 pandemic, the present study was conducted online. The method employed was quasi-experiment using factorial treatment by level 2 × 2 design. The data were collected with mathematical disposition questionnaire and early mathematics ability instrument. After the data were collected, they were then analyzed with two-way ANAVA analysis. The result showed that there was no significant difference in the increase mathematical disposition of students who are given the learning model and early mathematics ability. The conclusion obtained is that the geogebra based Van Hiele Model is ineffective on students’ mathematical disposition in terms of their early mathematics abilitiy. This is due to several factors, namely internal factors and external factors. The internal factors are decreas in the score of mathematical disposition from pretest to posttest, lack of understanding applying geogebra software with online learning. External factors are quotas and poor internet network.

Study Based on the Early Mathematical Ability of Elementary Student Self-efficacy through the Concrete-Pictorial-Abstract Approach

Self-efficacy (SE) can encourage students to complete their assignments. The research intended to investigate the achievement of students' self-efficacy by guiding concrete-pictorial-abstract (CPA) based on early mathematical ability (EMA). The research utilized quasi-experimental methods in learning mathematics regarding the volume of cubes and rectangular prisms. The population were all fifth-grade students of elementary schools in Purwakarta, Subang, Karawang, and Bekasi. Samples were 119 participants in Karawang. The instruments applied were questionnaires, tests, and daily journals. The prerequisite materials related to the volume of cubes and rectangular prisms are a topic about arithmetic calculation, square root, flat area, unit length, and problem-solving. Study’s result informed that there was no significant difference in the achievement of students' self-efficacy through CPA and conventional mentoring in the high and moderate EMA groups. There was a significant difference in the achievement of students' self-efficacy in the low group given CPA and conventional guidance. This finding gave birth to a strategy of developing self-efficacy in elementary schools using the CPA approach, especially the use of concrete objects around students through mentoring activities in schools, considering that self-efficacy makes it easy to solve problems especially when it comes to students with low initial abilities.

PENGARUH MEDIA PEMBELAJARAN MATEMATIKA BERBASIS WINGEOM TERHADAP KEMAMPUAN PEMAHAMAN MATEMATIS SISWA MTSN DANAU KERINCI

This study aims to look at the effect and interactions that occur between teaching materials by wingeom and early mathematics abilities on student’ mathematical understanding skills. This type of research is quasi-experimental researh. The population in this study were students class VIII of MTsN Danau Kerinci which numberrer 5 classes. The sample was selected using simple random sampling techniques, there was class VIIIA as the experimental class and class VIIIB as the control class. The research design used was the posttest only control group design. During the research, the experimental class was treated with learning by wingeom teaching material, while the control class was treated with conventional learning. The technique of collecting data through a test of mathematical understanding skills was anilyzed using two-way ANOVA. The result are (1) there is a difference between students’ mathematical understanding ability base on the teaching materials, Fcount=4,982 Fα=4,12 (2) there isa difference between students’ mathematical understanding ability viewed from early mathematics ability (high, medium, an low categories), Fhitung=29,315 Fα=3,27 (3) an interaction between the teaching materials and the student categories with early mathematics ability, Fhitung=-0,4 Fα=3,27Keywords : Mathematical Understanding Ability, Teaching materials by wingeom, Early Mathematics Ability

Ecuadorian children’s repeating patterning abilities and its association with early mathematical abilities

Young children’s early repeating patterning abilities are important foundations for their later mathematical development. Prior studies on young children’s repeating patterning abilities have been conducted exclusively in developed countries differing in economic, societal, and educational characteristics from developing countries. In this study, we analyzed the performance and the errors of 4- to 5-year-olds on three repeating patterning tasks, and we investigated the association between children’s repeating patterning abilities and their early mathematical abilities in a developing country, Ecuador. A total of 60 preschoolers and 56 kindergartners completed a repeating patterning test and an early mathematics test at the end of the school year. Results first indicated rather low repeating patterning performances of both preschoolers and kindergartens, with large inter-individual differences in these performances. Kindergartners had significantly better patterning abilities than preschoolers. Second, error analyses indicated that children made different types of errors when solving the patterning tasks. The majority of errors were pattern-related errors, with preschoolers making more errors that were not pattern related than kindergarteners. Third, children’s patterning abilities were positively associated with early mathematical abilities in both grades. These results complement current theoretical models of young children’s mathematical development and inform educational policy and practices in this domain for developing countries.

The Influence of Realistic Mathematical Approach on Creative Thinking Ability and Mathematical Problem Solving Students in Class VIII

This study aims to determine the effect of a realistic mathematical approach on students' mathematical creative thinking abilities, to determine the effect of a realistic mathematics approach on students' mathematical problem solving abilities, to determine the interaction between learning and initial mathematics ability (KAM) on students' mathematical creative thinking abilities, and know the interaction between learning and early mathematics abilities (KAM) on students' math problem solving abilities. The data were obtained through the KAM test, tests of creative thinking questions and student problem solving. Data were analyzed using two-way ANOVA test. Based on the results of the analysis (ANAVA), the results of the study with a significant value (sig) α = 0.000 concluded that there was an effect of a realistic mathematics learning approach on students 'creative thinking abilities and the significance value of the interaction was 0.488, meaning that there was no interaction between learning approaches and KAM on students' creative thinking abilities. . Furthermore, for the problem solving ability the significant value (sig) α = 0.000 that there is an effect of the realistic mathematics learning approach on students' mathematical problem solving abilities and the interaction significance value is 0.337 because the significance value is greater than the significant level value 0.05 so there is not enough evidence to reject it. Ho in other words Ho is accepted, meaning that there is no interaction between learning approaches and KAM on students' mathematical problem solving abilities. Keywords: Realistic Mathematical Approach, Creative Thinking Ability, Problem Solving Ability, Early Mathematical Ability (KAM) DOI: 10.7176/JEP/11-27-02 Publication date: September 30 th 2020

The Effect of the Jigsaw Cooperative Learning Model and the Student’s Initial Mathematical Abilities and Its Effect on the Mathematical Representation Ability and Learning Motivation of Students in the PAB 10 Sampali Private Elementary School

The Influence of Jigsaw Cooperative Learning Model on Mathematical Representation Ability and Student Learning Motivation at PAB 10 Sampali Private Elementary School. Thesis. Medan: UNIMED Postgraduate Program, 2020. This study aims to determine 1) the magnitude of the influence of the learning model on students' mathematical representation abilities and learning motivation; 2) the magnitude of the influence of early mathematical abilities on the ability of mathematical representation and student learning motivation; and 3) the interaction between the learning model and the initial mathematical ability of the mathematical representation ability and student learning motivation. The research was conducted in private SD PAB 10 Sampali with a sample of 2 classes with each class totaling 35 students. This research is a type of experimental research all with a 2 × 2 factorial design. The results showed that there is an effect of the learning model on the students 'mathematical representation ability, where the jigsaw cooperative learning model has a 9.1% higher effect on students' mathematical representation abilities than the expository learning model, there is an effect of initial mathematical ability on students 'mathematical representation abilities, where the high initial mathematical ability of students has an 11.5% higher effect on students' mathematical representation abilities compared to low initial mathematical abilities, there is no interaction between the learning model and the students 'mathematical initial ability to the students' mathematical representation ability.

Improving Students' Problem Solving Ability and Mathematical Communication through the Application of Problem Based Learning

The purpose of this study was to determine the improvement of students' mathematical problem solving and communication skills using problem-based learning better than ordinary learning; to determine the interaction between learning and early mathematical abilities to increase students' mathematical problem solving and communication skills; to find out how the process of answers made by students in solving problems in problem-based learning and ordinary learning. This type of research is quasi-experimental. The population in this study were all grade VII students of SMP Lhokseumawe who were accredited and the samples were randomly selected, namely: SMPN 10 consisted of class VII-4 (experimental class) and class VII-2 (control class), SMPN 11 Lhokseumawe consisted of class VII- 3 (experimental class) and class VII-1 (control class). Data analysis was performed using two-way ANOVA. The results of this study indicate that there is an increase in the problem-solving ability and mathematical communication of students using problem-based learning better than students who receive regular learning; there is no interaction between learning and the level of students 'ability to increase students' problem-solving abilities and mathematical communication; the process of solving the problem of students' answers to learning using problem-based learning is better than ordinary learning.

Effectiveness of The Big Math for Little Kids Program on the Early Mathematics Skills of Preschool Children with a Bilingual Group

The objective of this study is to explore the effect of the Big Math for Little Kids Program (BMKL) on the mathematical development of bilingual preschool children. For this purpose, an experimental design with pre-test/post-test with control group was employed. A total of 60 children from Diyarbakir were included in the research sample. Of these, 30 were assigned to the experimental group and 30 to the control group. In the study pretest-posttest with control group experimental model was used. The data of the study were collected through the Tests of Early Language Development Test (TELD-3) to determine children with adequate language skills of their own age group, and Test of Early Mathematical Ability (TEMA-3) to assess early mathematical development of children. BMLK program were applied to the experimental group for 12 weeks by the researcher. The main themes of the four units are numbers, shapes, patterns and measurement skills. After the experiment, TEMA-3 test and TELD test were applied to the experimental and control groups as post-test. The obtained data were analyzed by using Mann-Whitney U and Wilcoxon tests. As a result of the study, it was identified that the Big Math for Little Kids Program has a statistically significant effect on early mathematical skills of children in favor of the experimental group when compared to the control group.

The relationship between children’s approximate number certainty and symbolic mathematics

Why do some children excel in mathematics while others struggle? A large body of work has shown positive correlations between children’s Approximate Number System (ANS) and school-taught symbolic mathematical skills, but the mechanism explaining this link remains unknown. One potential mediator of this relationship might be children’s numerical metacognition: children’s ability to evaluate how sure or unsure they are in understanding and manipulating numbers. While previous work has shown that children’s math abilities are uniquely predicted by symbolic numerical metacognition, we focus on the extent to which children’s non-symbolic/ANS numerical metacognition, in particular sensitivity to certainty, might be predictive of math ability, and might mediate the relationship between the ANS and symbolic math. A total of 72 children aged 4–6 years completed measures of ANS precision, ANS metacognition sensitivity, and the Test of Early Mathematical Ability (TEMA-3). Our results replicate many established findings in the literature, including the correlation between ANS precision and the TEMA-3, particularly on the Informal subtype questions. However, we did not find that ANS metacognition sensitivity was related to TEMA-3 performance, nor that it mediated the relationship between the ANS and the TEMA-3. These findings suggest either that metacognitive calibration may play a larger role than metacognitive sensitivity, or that metacognitive differences in the non-symbolic number perception do not robustly contribute to symbolic math performance.

Cognitive functions mediate the effect of preterm birth on mathematics skills in young children

ABSTRACT Children born preterm are at risk for cognitive deficits and lower academic achievement. Notably, mathematics achievement is generally most affected. Here, we investigated the cognitive functions mediating early mathematics skills and how these are impacted by preterm birth. Healthy children born preterm (gestational age at birth < 33 weeks; n = 51) and children born full term (n = 27) were tested at ages 5, 6, and 7 years with a comprehensive battery of tests. We categorized items of the TEMA-3: Test for Early Mathematics Abilities Third Edition into number skills and arithmetic skills. Using multiple mediation models, we assessed how the effect of preterm birth on mathematics skills is mediated by spatial working memory, inhibitory control, visual-motor integration, and phonological processing. Both number and arithmetic skills showed group differences, but with different developmental trajectories. The initial performance gap observed in the preterm children decreased over time for number skills but increased for arithmetic skills. Phonological processing, visual-motor integration, and inhibitory control were poorer in children born preterm. These cognitive functions, particularly phonological processing, had a mediating effect on both types of mathematics skills. These findings help define and chart the trajectory of the specific cognitive skills directly influencing math deficit phenotypes in children born very preterm. This knowledge provides guidance for targeted evaluation and treatment implementation.