Commentary on Paul Ernest’s Theory about Teachers’ Beliefs and Practice

<p>In this short communication, the author analyzed Paul Ernest’s theory on relationships between teachers’ beliefs, and their impact on teachers’ practice of mathematics. The author considered the teachers’ espoused and enacted models of mathematics assessment in addition to the teachers' views of the nature of mathematics, teaching, and learning models. The author also considered three purposes of mathematics<em> </em>assessment.</p>

Study Literature of Development Model of Mathematics Curriculum in Queensland

<p class="JRPMAbstractBodyEnglish">Australia grants individual states autonomy to develop school mathematics curricula. This article aims to find out a model for developing a school mathematics curriculum in Queensland. The method used in this research is Systematic Literature Review (SLR). This SLR method can be used to identify, review, evaluate, and interpret studies related to the topics discussed in this study, with specific relevant research questions. The SLR method in this research is carried out by systematically reviewing and identifying journals, which follow the steps or protocols that have been set in each process. The documents studied and researched include journals and professional scientific papers and Queensland mathematics curriculum documents for grades 11 and 12, namely the Queensland Curriculum &amp; Assessment Authority (QCAA). Based on the results of the literature review, it was found that in Queensland, the mathematics curriculum in grades 11 and 12 is divided into three types, namely Mathematics A curriculum, Mathematics B curriculum, and Mathematics C curriculum. Each type of curriculum is developed according to the conditions and skills required by students.</p>

Students Motivation and Mathematical Problem Solving Enhancement through SFAE (Student Facilitator and Explaining) in Problem-Solving Strategies

This study was employed to enhance learning motivation and mathematical problem-solving abilities of class VIII A students of SMP Negeri 7 Purwokerto through SFAE learning with problem-solving strategies. The subjects of this study were 31 students of class VIII A SMP Negeri 7 Purwokerto. This study is a Classroom Action Research (CAR), which was conducted collaboratively and participative. The action research was carried out in 3 cycles, with each cycle consisting of 2 meetings. Students were given a questionnaire to measure learning motivation and a test to measure their mathematical problem-solving abilities at the end of each cycle. Data collection techniques in this study include observation, questionnaires, tests, and documentation. Data analysis was carried out by descriptive qualitative and quantitative. The finding showed that implementing of SFAE learning with problem-solving strategies could increase students’ learning motivation and mathematical problem-solving abilities. The study found that (1) The average percentage of the overall learning motivation questionnaire is steadily increased from 61.71% in cycle one to 68.10% in cycle two and 76.03% in cycle three. (2) The average percentage of student tests for problem-solving abilities in cycle one also significantly increases from 35.21% to 53.20% in cycle two and 79.61% in cycle three. The average student test rate for each indicator of problem-solving ability has met the study’s success criteria.

Developing Learning-based Instagram Media on Derivative

<p class="JRPMAbstractBodyEnglish">This study aims to develop learning media using Instagram and determine its feasibility. This research method used Research and Development (R&amp;D) with the ADDIE development model through 5 stages, namely Analysis, Design, Development, Implementation, and Evaluation. The research was conducted at SMA N 1 Ngemplak. The data collection technique used a validation questionnaire conducted by two teachers and one lecturer and students response questionnaire. The data analysis techniques were descriptive qualitative and quantitative. The result of this research was a derivative learning media in the form of videos presented through Instagram. The feasibility test results showed that the learning media had met three eligibility criteria for learning media. The assessment of media and material experts showed that learning-based Instagram media was in the good category. Based on students' assessment, learning media's feasibility based on Instagram social media was good to use. The correlation between the students response questionnaire and the learning outcome test also showed a unidirectional and significant correlation. It indicated that there was a correspondence between the questionnaire scores and the learning outcome test scores. Based on these results, learning media through Instagram social media is suitable for the learning process.</p>

A Note on Full and Complete Binary Planar Graphs

<p>Let G=(V(G), E(G)) be a connected graph where V(G) is a finite nonempty set called vertex-set of G, and E(G) is a set of unordered pairs {u, v} of distinct elements from V(G) called the edge-set of G. If is a connected acyclic graph or a connected graph with no cycles, then it is called a tree graph. A binary tree Tl with l levels is complete if all levels except possibly the last are completely full, and the last level has all its nodes to the left side. If we form a path on each level of a full and complete binary tree, then the graph is now called full and complete binary planar graph and it is denoted as Bn, where n is the level of the graph. This paper introduced a new planar graph which is derived from binary tree graphs. In addition, a combinatorial formula for counting its vertices, faces, and edges that depends on the level of the graph was developed.</p>

Development of Student Worksheet on Rectangular Based on Yogyakarta Culture for Grade VII of Junior High School Students

<p>This research aims to develop and quality teaching materials for mathematics student worksheets based on Yogyakarta culture in rectangular materials for grade VII of junior high school students that can be valid, practical, and effective.<strong> </strong>This research is a development that refers to 3D development models, namely: define, design, and develop. The result shows that (1) there are the development of teaching materials for math worksheets (LKS) based on Yogyakarta culture on rectangular material fulfills the criteria of validity, practicality, and effectiveness; (2) based on the validity aspect of the math worksheets teaching materials, valid criteria were obtained which were reviewed from the material experts' assessment and it was obtained that the value is 3.1 and the results of the material experts' assessment by mathematics lectures and teachers obtained valid criteria with an average of 3.00; (3) based on the practical aspect of math worksheets teaching materials, students' responses were very practical with an average value 3.27; (4) based on the aspect of effectiveness by comparing the average value of students work and the Minimum Mastery Criteria (KKM) set by the school, the result of student value was more than the KKM. After using mathematics LKS teaching materials, 100% scored above the Minimum Mastery Criteria with an average of 88.57. The teaching materials for math worksheets based on Yogyakarta culture meet the criteria of validity, practicality, and effectiveness to improve the learning achievement of grade VII at SMP IT Masjid Syuhada.</p>

Challenges with Implementing Oral Exams in Post-Secondary Mathematics Courses

<p><span lang="EN-US">In this study, seven mathematics professors and instructors were interviewed to share their thoughts about implementing oral assessment in mathematics courses in Canada and the United States, where oral assessment in mathematics is not part of the educational system. Four out of seven mathematics professors and instructors were educated in Poland, Romania, Bosnia, and Ukraine, and they are currently teaching mathematics at a university in Canada. The other three professors were educated in Canada, Germany, and the United States, and they are currently teaching at a university in Germany. Five participants had previously experienced oral examination in mathematics</span><span>,</span><span lang="EN-US"> while the other two had never been exposed to oral examination in mathematics throughout their schooling. The results showed that implementing oral assessment in mathematics courses at the university level in Canada and the United States might raise some students</span><span>’</span><span lang="EN-US"> and professors</span><span>’</span><span> <span lang="EN-US">concerns.</span></span></p>

Students Mathematics Learning Achievement from Mathematics Teacher Performance and Principal Managerial Competencies Point of View

<pre><span lang="IN">Principals and teachers are two important elements that must be at the forefront of improving the quality of students in the school. D</span><span lang="EN">o these two things affect learning achievement? It is what the researchers answered in this study. Therefore,</span><span lang="IN">this study aims to describe the influence of mathematics teacher performance and principal managerial competence </span><span>on</span><span lang="IN"> student mathematics learning achievement. The approach in this study is a quantitative (survey). The population was all mathematics teachers and public high school students in Central Lombok, about 793</span><span lang="IN">people. Using the purposive sampling technique obtained a sample </span><span>of</span><span lang="IN"> this study were all mathematics teachers in one of the public high schools in Central Lombok, totaling 187 people. The instruments used were mathematics teacher performance and principals managerial competency questionnaires</span><span>,</span><span lang="IN"> and computer-based national exam tests to measure student mathematics learning achievement. Data analysis was performed using a regression test, namely the t-test </span><span>and </span><span lang="IN">the F-test</span><span>,</span><span lang="IN"> to see the effect </span><span>of </span><span lang="IN">mathematics teacher performance and principal managerial competence (individually and together). The results showed that mathematics teacher performance affected mathematics learning achievement with a t</span><span>-</span><span lang="IN">value of 16.295, and principal managerial competence affected mathematics learning achievement with a t</span><span>-</span><span lang="IN">value of 18.831. Furthermore, mathematics teacher performance and principal managerial competence influence student mathematics learning achievement of public senior high school students in Central Lombok with an F</span><span>-</span><span lang="IN">value of 211.482.</span><em></em></pre>

Cognitive Growth Model to Improve Problem Solving Ability and Activities of the Second Semester Students in Integral Calculus Course

The problem solving ability is needed for the students to be able to face the challenges of education on cognitive aspects. Meanwhile, in the affective aspect, the students’ activities also play an important role in the process of learning mathematics in higher education. Armed with activities and mathematical problem solving ability, they are expected to be more adaptive in their efforts to find solutions for each problem. The purpose of this research is to improve the activities and ability to solve mathematics problems in the second semester students in the Integral Calculus course using the Cognitive Growth model. This is a Classroom Action Research (CAR in the even semester 2018/2019). The subjects of this research are the second semester students of the Mathematics Education Study Program at a higher education institution in Magelang, Central Java, Indonesia. The data collection techniques in this research are the test, observation, and interview. The percentage for the aspect of the students’ activities in the first cycle = 51.51%, the second cycle = 58.56%, and the third cycle = 65.48%. The percentage of improvement in the students' mathematical problem solving ability in cycle I = 45.08%, cycle II = 40.08%, and cycle III = 56.59%. Therefore, it can be concluded that the application of the Cognitive Growth model can improve the activities and problem solving ability in the second semester students in the Integral Calculus course.

Improving the Ability of MTs Mathematics Teachers Using Mathematics Learning Media Through the Training of "Kelasmen" Model in Target Madrasah in the Temanggung Regency

<p class="JRPMAbstrakTitle">The purpose of this research was to improve the ability of MTs mathematics teachers in the Temanggung regency to use mathematics learning media through the training of the Kelasmen model. This was supervisory action research. The research period was three months from mid of February 2019 to mid of April 2019. This research was conducted in three cycles on mathematics teachers in the Pringsurat, Tembarak, Selopampang, Kaloran, and Temanggung subdistrict in eleven targets MTs in Temanggung regency. The stages undertaken by the researcher in this study are (1) the preliminary initial reflection stage, (2) the planning stage, (3) the implementation phase of the action, (4) the observation phase, and (5) the reflection phase. After being given training through the Kelasmen model on the use of mathematics learning media, the ability of mathematics teachers in eleven MTs in Temanggung regency experienced an improvement from 53,33% in cycle I to 66,67% in cycle II and 86,67% in cycle III. Therefore, it could be concluded that the training of the Kelasmen model could improve the ability of MTs mathematics teachers in the Temanggung regency to use mathematics learning media. Thus the hypothesis of the proposed action was declared successful and accepted.</p>