Quality of Explanation as an Indicator of Fraction Magnitude Understanding

2018 ◽  
Vol 52 (2) ◽  
pp. 181-191 ◽  
Author(s):  
Lindsay Foreman-Murray ◽  
Lynn S. Fuchs

Students’ explanations of their mathematical thinking and conclusions have become a greater part of the assessment landscape in recent years. With a sample of 71 fourth-grade students at risk for mathematics learning disabilities, we investigated the relation between student accuracy in comparing the magnitude of fractions and the quality of students’ explanations of those comparisons, as well as the relation between those measures and scores on a criterion test: released fraction items from the National Assessment of Educational Progress. We also considered the extent to which reasoning and language contribute to the prediction. Results indicated a significant moderate correlation between accuracy and explanation quality. Commonality analyses indicated that explanation quality accounts for little variance in National Assessment of Educational Progress scores beyond what is accounted for by traditional measures of magnitude understanding. Implications for instruction and assessment are discussed.

2018 ◽  
Vol 3 (2) ◽  
pp. 558
Author(s):  
Irsan Irsan

Improving the Quality of Mathematics Learning through the Application of Peer Tutor Method on Student IV of SDN Topa Baubau. Irsan. Primary teacher education. Faculty of Teacher Training and Education. University of Muhammadiyah Buton.This research is a classroom action research that aims to improve the quality of Mathematics learning through the application of Peer Tutor method to fourth grade students of SDN Topa Baubau in the even semester of academic year 2017/2018 with a total of 30 students. This research was conducted in two cycles. Each cycle has several stages: planning, execution, observation / observation, and reflection. Each cycle is held in 4 meetings. Data retrieval is done by using learning result test and observation. The collected learning result data was analyzed by using quantitative analysis and observation data was analyzed qualitatively. The results showed that the average score of students in the first cycle was 60.66, while in cycle II obtained an average score of 78. KKM standard used in schools is 65, it indicates that has been achieved student learning outcomes in class. From the results of this study can be concluded that by applying the Tutor Sebaya method of learning quality of Mathematics in fourth grade students of SDN Topa Baubau can increase. Keywords: Peer Tutor Method. Quality of Mathematics Learning. Peningkatan Kualitas Pembelajaran Matematika melalui Penerapan Metode Tutor Sebaya pada Murid Kelas IV SDN Topa Baubau. Irsan. Pendidikan Guru Sekolah Dasar. Fakultas Keguruan dan Ilmu Pendidikan. Universitas Muhammadiyah Buton. Penelitian ini adalah penelitian tindakan kelas  (classroom action research) yang bertujuan untuk meningkatkan kualitas pembelajaran Matematika melalui penerapan metode Tutor Sebaya pada murid kelas IV SDN Topa Baubau semester genap tahun ajaran 2017/2018 dengan jumlah murid 30 orang. Penelitian ini dilaksanakan sebanyak dua siklus. Tiap siklus memiliki beberapa tahapan yaitu perencanaaan, pelaksanaan, pengamatan/observasi, dan refleksi. Masing-masing di siklus dilaksanakan 4 kali pertemuan. Pengambilan data dilakukan dengan menggunakan tes hasil belajar dan observasi. Data hasil belajar yang terkumpul dianalisis dengan menggunakan analisis kuantitatif dan data hasil observasi dianalisis secara kualitatif. Hasil penelitian menunjukkan bahwa skor rata-rata murid pada siklus I adalah 60,66, sedangkan pada siklus II diperoleh skor rata-rata  78. Standar KKM yang digunakan di sekolah adalah 65, hal ini menunjukkan bahwa telah tercapai hasil belajar murid secara klasikal. Dari hasil penelitian ini dapat disimpulkan bahwa dengan menerapkan metode Tutor Sebaya kualitas pembelajaran Matematika pada murid kelas IV SDN Topa Baubau dapat meningkat. Kata kunci: Metode Tutor Sebaya. Kualitas Pembelajaran Matematika.


2016 ◽  
Vol 2 (2) ◽  
Author(s):  
Noor Hasanah

This research uses descriptive method is to determine the problem and solve it based on the data, presenting data, and analyze it. The population in this study were all fourth grade students SDIT Ukhuwwat Banjarmasin and selected samples are class IV-A and IV-B classes totaling 72 students. In collecting the data, the technique used is interview, observation and documentation.The research found that the difficulties experienced by students that have difficulty completing a different matter with the sample questions provided by the teacher on word problems, difficulty recalling the formula, and the difficulty in calculating operations multiplication and division problems. Efforts of teachers in addressing students' mathematics learning disabilities that provides the motivation to learn, give variety of teaching methods, use of props, provide adequate exercise and repetitive, and provide repair or remedial program.                                                                                          Keywords: difficulty learning math, math teacher


2020 ◽  
Vol 3 (2) ◽  
pp. 146
Author(s):  
Fajriah Hasanah Tri Komara ◽  
Zetra Hainul Putra ◽  
Neni Hermita

This research is motivated by the low mathematics learning outcomes of fourth grade students of SD Negeri 136 Pekanbaru, with an average score of 68.25 and only 17 of 40 reach the minimum completeness criteria (KKM). This research is a classroom action research (CAR) conducted aimed at improving the mathematics learning outcomes of fourth graders by implementing a cooperative model of picture and picture type. The subjects of this study were 40 fourth grade students of class IVB in 2019/2020 school year. Data collection instruments in this study were teacher activity sheets and student activities and learning outcomes. The results of this study indicate that student learning outcomes increased by 13.26% from an average of 68.25 to 77.3 in cycle I. In the second cycle it increased to 24.54% with an average of 85. Teacher activity also increased from 75 .00% with enough category in the first cycle of the first meeting to be 96.43% very good category in the second meeting of the second cycle. The results showed that the application of the Cooperative model type Picture and picture could improve the mathematics learning outcomes of class IVB students of SD Negeri 136 Pekanbaru.


2020 ◽  
Vol 8 (1) ◽  
pp. 78-85
Author(s):  
Qomario Qomario ◽  
Ahmad Tohir ◽  
Ali Mashari

This research aimed to describe the effect of realistic mathematical approaches on mathematics learning outcomes of fourth grade students at SDN 4 JatiMulyo. Type of this research is quantitative research using quasi-experimental methods and using one-group pre-test and post-test design. This research is conducted for grade IV odd semester 2019/2020 at SDN 4 JatiMulyo. The population in this research are all fourth grade students of SDN 4 Jati Mulyo with a total of 31 students. The sampling using saturated sampling technique (total sampling), thus the sample in this research amounted to 31 students. The data collection is done through tests, namely pre-test and post-test. The data analysis technique used in this study is descriptive analysis. Based on the result and discussion in this research, it can be concluded that there is an effect of a realistic mathematical approach to the mathematics learning outcomes of fourth grade students at SD N 4 JatiMulyo. This is evidenced by the mean value of mathematics learning outcomes is 83.84 (very good category). From these results it can be concluded that there was an effect of a realistic mathematical approach to student mathematics learning outcomes.


10.29007/q94q ◽  
2018 ◽  
Author(s):  
Ana Cristina Lahuerta-Martínez

The aim of this paper is to examine secondary education learners’ performance in L2 writing production using the complexity, accuracy, and fluency constructs. Results show that the measures of fluency, accuracy, grammatical and lexical complexity progress in a significant way: fourth grade students outperform first graders in the aforementioned measures. Secondly, fewer correlations between the writing measures used and the general quality of the compositions are found among the older students than among the younger ones, indicating that the correlations change depending on learners’ age. Thirdly, 1st year students exhibit a higher ratio of errors, both in general and also by error category, although only two types decrease significantly in 4th year students: syntactic and spelling errors. Lastly, we find that errors tend to develop in a non-linear way.


2020 ◽  
Vol 8 (2) ◽  
Author(s):  
Sumayyah Sumayyah ◽  
Wahyudi Wahyudi ◽  
Ratna Hidayah

<em>The purposes of the study were: (1) to describe the steps of scientific approach with concrete materials in improving mathematics learning outcomes about plane figures, (2) to improve mathematics learning outcomes about plane figures with scientific approaches and concrete materials, (3) to describe obstacles and solutions for implementing scientific approaches with concrete media in improving mathematics learning outcomes about plane figures. The study was classroom action research conducted in three cycles and six meetings. The subjects were teacher and 31 students of fourth grade at SDN Mengkowo. Types of data were qualitative data and quantitative data. Data collection techniques used observation, interviews, and tests. Data validity used triangulation of techniques and triangulation of sources. Quantitative and qualitative data analysis included data reduction, data presentation, and drawing conclusions. The results indicated that: (1) the steps of scientific approach with concrete materials involved: (a) observing concrete materials, (b) asking questions based on materials, (c) gathering information from the media, (d) experimenting, and (e) communicating; (2) the implementation of scientific approach with concrete materials improved mathematics learning outcomes about plane figures to fourth grade students of SDN Mengkowo in academic year of 2019/2020; (3) the obstacle was some students found difficulties to understand the worksheet while the solution was the teacher asked students to pay attention to the teacher after receiving the worksheet.</em>


2018 ◽  
Vol 1 (1) ◽  
pp. 124
Author(s):  
Rosemey Ratna Purnawati ◽  
Slameto Slameto ◽  
Elvira Hoesein Radia

Abstrak: Penelitian ini bertujuan untuk meningkatkan hasil belajar matematika menggunakan model pembelajaran Discovery Learning berbasis Kurikulum 2013 pada siswa kelas 4 di salah satu SD Negeri kota Salatiga. Jenis penelitian ini adalah penelitian tindakan kelas dengan dua siklus. Siklus I dan II terdiri dari tiga kali pertemuan. Subjek penelitian adalah siswa kelas 4. Pada kondisi awal nilai rata-rata klasikal adalah 62,25 dengan jumlah siswa tuntas sebanyak 10 siswa dan jumlah siswa tidak tuntas sebanyak 10 siswa. Pada siklus I rata-rata hasil belajar matematika meningkat menjadi 75,50 dan pada siklus II rata-rata hasil belajar siswa meningkat lagi menjadi 83,00. Presentase ketuntasan hasil belajar siswa juga mengalami peningkatan. Pada siklus I presentase ketuntasan mencapai 75% dan pada siklus II presentase ketuntasan mencapai 90%, dengan demikian dapat disimpulkan bahwa model pembelajaran Discovery Learning berbasis Kurikulum 2013  dapat meningkatkan hasil belajar.Abstract:  This study aims to improve the learning outcomes of mathematics through Discovery Learning based on 2013 curriculum model in the fourth grade students on one of the Salatiga State Elementary Schools. This type of research is a Classroom Action Research with two cycles. Both cycles consist of three meetings. The subjects of the study were the fourth grade students. The initial condition showed that the score was 62,25 with the total number of students who passed were only 10 students and the number of students who hasn’t passed were 10 students. At the first cycle of mathematics learning the outcomes increased to become 75,50. It means the percentage of completeness reached 75%. At the second cycle the average of student’s learning outcomes increased again to become 83,00. Showed that percentage of completeness reached 90%, thus it can be concluded that the Discovery Learning based on 2013 curriculum model can improve student learning outcomes.


Author(s):  
JANINE FREITAS MOTA ◽  
CELINA APARECIDA ALMEIDA PEREIRA ABAR

ResumoEste trabalho é um recorte de uma tese de doutorado, em desenvolvimento, cujo objetivo é de desenvolver uma alternativa pedagógica e tecnologógica, que contemple aspectos do Pensamento Matemático Avançado, bem como, aplicações, aprimoramento do conhecimento e do significado da Integral Definida, em contextos intramatemáticos e extramatemáticos, em cursos de Matemática. Neste recorte, apresentamos o percurso de nossa investigação, abordando, inicialmente, os aspectos relacionados às dificuldades na aprendizagem do Cálculo Integral, em particular, da Integral Definida. Ainda, destacamos que a exploração de aplicações desse conteúdo, em distintas áreas, é considerada como uma possibilidade para o seu ensino e para sua aprendizagem. Aspectos teóricos, metodológicos e tecnológicos são apresentados, como orientadores do planejamento da estratégia pedagógica. É destacado um exemplo de aplicação teórico-prática, na perspectiva de melhorias na qualidade do ensino e da aprendizagem desse tópico. Palavras-chave: Integral Definida; Conexões Intramatemáticas; Conexões Extramatemáticas; Educação Matemática no Ensino Superior.AbstractThis work is an doctoral thesis excerpt, under development, whose objective is to construct a pedagogical and technological alternative that contemplates Advanced Mathematical Thinking aspects and applications, improvement of knowledge and the meaning of the Definite Integral, in intramathematical and extramathematical contexts, inside the  mathematical programs. In this excerpt, it is presented the research way, initially approaching the aspects related to the learning disabilities in Integral Calculus, particularly Definite Integral. Still, it is emphasized that the exploitation of applications of this content, in different areas, is considered as a possibility for its teaching and learning. Theoretical, methodological and technological aspects are presented as guide of pedagogical strategy planning. An example of theoretical-practical application is highlighted, with a view to improving the quality of teaching and learning on this topic.Keywords: Definite Integral; Intramathematics Connections; Extramathematcal Connections; Mathematics Learning in Higher Education.   


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