Purposeful problem solving practices in Te Kākano

2020 ◽  
Vol 24 (2) ◽  
pp. 15-20
Author(s):  
Judy Bailey ◽  
Jane McChesney
Keyword(s):  
Early Childhood ◽  
Problem Solving ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Mathematical Practices ◽  
Symbol Systems ◽  
Childhood Education ◽  
Aotearoa New Zealand ◽  
Problem Solvers

Mathematical learning is an integral part of early childhood education (ECE). In Aotearoa New Zealand there is a range of valuable curriculum resources including Te Kākano, a “living, evolving” framework of purposeful activities, to assist teachers to notice and respond to mathematics learning. This article aims to contribute towards this evolution by suggesting mathematical problem solving become more explicitly embedded within Te Kākano. This would be one way of keeping mathematical practices at the forefront of early childhood mathematics education supporting children to be creative mathematical problem solvers as they develop early understandings of mathematics symbol systems and technologies.

scholarly journals Efektivitas Pembelajaran Matematika Realistik Terhadap Kemampuan Pemecahan Masalah Matematik Siswa Kelas VII SMP

2018 ◽  
pp. 1-9
Author(s):  
Ananda Ria Pertiwi Sinaga
Keyword(s):  
Problem Solving ◽  
Junior High School ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Learning Approaches ◽  
Learning Attitudes ◽  
Realistic Mathematics ◽  
Quasi Experimental ◽  
Academic Year

This study aims to (1) find out whether the mathematical problem-solving abilities of students who are taught by realistic mathematics learning were higher than those students who were taught using conventional learning; (2) knowing students' learning attitudes towards realistic mathematics learning approaches. This research is a quasi-experimental study with a quantitative approach. This research was conducted in class VII of the Junior High School 28 Medan 2017/2018 Academic Year where the population of this study was all class VII. Samples from this study were class VII-G as the experimental class and class VII-F as the control class. Based on the results of the analysis of calculations, the following data are obtained: (1) the results of analysis of realistic mathematical learning on students' mathematical problem-solving abilities using the t-test found that ttable = 1.68 and tcount = 3.6821 so tcount> ttable then concluded that H0 is rejected and Ha be accepted. The mathematical problem-solving abilities of students who are taught by realistic mathematics learning was higher than conventional learning. (2) student responses were very positive towards realistic mathematics learning with an average of ≥ 86.03.

scholarly journals Inconsistency Among Beliefs, Knowledge, and Teaching Practice in Mathematical Problem Solving: A Case Study of a Primary Teacher

2017 ◽  
Vol 7 (2) ◽  
pp. 27-40
Author(s):  
Tatag Yuli Eko Siswono ◽  
Ahmad Wachidul Kohar ◽  
Ika Kurniasari ◽  
Sugi Hartono
Keyword(s):  
Problem Solving ◽  
Teaching Practice ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Primary Teacher ◽  
Mathematical Problem Solving ◽  
Mathematics Problems ◽  
And Mathematics ◽  
Teacher's Beliefs

This is a case study investigating a primary teacher’s beliefs, knowledge, and teaching practice in mathematical problem solving. Data was collected through interview of one primary teacher regarding his beliefs on the nature of mathematics, mathematics teaching, and mathematics learning as well as knowledge about content and pedagogy of problem solving. His teaching practice was also observed which focused on the way he helped his students solve several different mathematics problems in class based on Polya’s problemsolving process: understand the problem, devising a plan, carrying out the plan, and looking back. Findings of this study point out that while the teacher’s beliefs, which are closely related to his problem solving view, are consistent with his knowledge of problem solving, there is a gap between such beliefs and knowledge around his teaching practice. The gap appeared primarily around the directive teaching which corresponds to instrumental view he held in most of Polya’s process during his teaching practice, which is not consistent with beliefs and knowledge he professed during the interview. Some possible causes related to several associate factors such as immediate classroom situation and teaching practice experience are discussed to explain such inconsistency. The results of this study are encouraging, however, further studies still need to be conducted.

scholarly journals Penerapan Pendekatan Matematika Realistik Terhadap Kemampuan Pemecahan Masalah Matematis Siswa

2016 ◽  
Vol 1 (2) ◽  
pp. 163-173
Author(s):  
Sarbiyono Sarbiyono
Keyword(s):  
Problem Solving ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Realistic Mathematics ◽  
Conventional Methods ◽  
Essay Test

This paper discusses of difference to increasing ability of mathematical problem solving of students who obtain realistic mathematics approach and students who received conventional methods. Subject of this research are X.I as experimental class and X.G as controls class, in which every class consist of 40 students. The instrument used to measure the ability of a test of problem solving is a five essay test. While the analysis used in the study were different test average. The conclusion of this study are: mathematical problem solving ability of students who obtain realistic mathematics learning is higher than the mathematical problem solving ability of students who acquire learning by conventional methods.

scholarly journals Mathematics teachers’ knowledge for teaching problem solving

2015 ◽  
Vol 3 (1) ◽  
pp. 19-36 ◽  
Author(s):  
Olive Chapman
Keyword(s):  
Problem Solving ◽  
Mathematics Teachers ◽  
Mathematical Problem ◽  
Research Literature ◽  
Mathematical Problem Solving ◽  
Knowledge For Teaching ◽  
General Ability ◽  
Mathematics Knowledge ◽  
Teaching Problem ◽  
Problem Solvers

In recent years, considerable attention has been given to the knowledge teachers ought to hold for teaching mathematics. Teachers need to hold knowledge of mathematical problem solving for themselves as problem solvers and to help students to become better problem solvers. Thus, a teacher’s knowledge of and for teaching problem solving must be broader than general ability in problem solving. In this article a category-based perspective is used to discuss the types of knowledge that should be included in mathematical problem-solving knowledge for teaching. In particular, what do teachers need to know to teach for problem-solving proficiency? This question is addressed based on a review of the research literature on problem solving in mathematics education. The article discusses the perspective of problem-solving proficiency that framed the review and the findings regarding six categories of knowledge that teachers ought to hold to support students’ development of problem-solving proficiency. It concludes that mathematics problem-solving knowledge for teaching is a complex network of interdependent knowledge. Understanding this interdependence is important to help teachers to hold mathematical problem-solving knowledge for teaching so that it is usable in a meaningful and effective way in supporting problem-solving proficiency in their teaching. The perspective of mathematical problem-solving knowledge for teaching presented in this article can be built on to provide a framework of key knowledge mathematics teachers ought to hold to inform practice-based investigation of it and the design and investigation of learning experiences to help teachers to understand and develop the mathematics knowledge they need to teach for problem-solving proficiency.

scholarly journals HUBUNGAN ADVERSITY QUOTIENT DENGAN KEMAMPUAN PEMECAHAN MASALAH SISWA SMP PADA PEMBELAJARAN MATEMATIKA

2018 ◽  
Vol 7 (2) ◽  
Author(s):  
Lisa Dwi Afri
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Coefficient Of Determination ◽  
Mathematical Problem Solving ◽  
Problem Solver ◽  
Ability Test ◽  
Problem Solving Skills

Problem solving must be developed and internalized in mathematics<br />learning, so students have problem solving skills that students can<br />transfer to their daily lives when facing problems or difficulties.<br />There is a mental attitude that affects a person's success to become a<br />successful problem solver, namely adversity quotient. This mental<br />attitude affects the mindset and emotions so it is not easy to give up<br />in solving problems. This study aims to measure the relationship<br />between adversity quotient and problem solving abilities of junior<br />high school students in mathematics learning. This research is a<br />correlation study. The population was students of SMPN 1 Padang<br />Panjang 2014/2015 academic year, while 32 samples were selected<br />by purposive sampling. The data was collected using an adversity<br />quotient scale and a mathematical problem solving ability test. Data<br />were analyzed by regression correlation techniques. The results of<br />data analysis showed a correlation coefficient between adversity<br />quotient variables with mathematical problem solving abilities of r =<br />0.756&gt; rtable (0.297), meaning that there was a significant positive<br />relationship between adversity quotient and mathematical problem<br />solving abilities. The coefficient of determination obtained is r2 =<br />0.572 indicating that adversity quotient has an effect of 57.2% on<br />mathematical problem solving abilities of junior high school<br />students, while 42.8% is influenced by other factors

scholarly journals The Effect of Problem Based Learning and Learning Motivation of Mathematical Problem Solving Skills of Class 5 Students at SDN 0407 Mondang

2020 ◽  
Vol 3 (1) ◽  
pp. 531-539
Author(s):  
Arif Mahmuda Pohan ◽  
Asmin Asmin ◽  
Asih Menanti
Keyword(s):  
Problem Solving ◽  
Student Learning ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Learning Motivation ◽  
Mathematical Problem Solving ◽  
Learning Methods ◽  
Class V ◽  
Academic Year

This study aims to: 1) find out whether students' mathematical problem solving abilities that are taught with problem based learning are better than students who are taught by direct learning. 2) find out whether the mathematical problem solving ability of students who have high learning motivation is better than students who have low learning motivation. 3) find out whether there is an interaction between learning and student learning motivation towards students' mathematical problem solving abilities. This study uses a quasi-experimental method with a 2x2 factorial design. The study population was fifth grade students (five) in the odd semester of the 2017/2018 Academic Year at SDN 0407 Mondang which consisted of two classes with a sample of 50 students. The class used as the sample of the experimental group is class V A with 25 students and the control class is class V B with 25 students. Thus the sample selection is done by total sampling technique. Data was collected by student achievement test and student motivation instrument. The collected data was processed statistically using a two-way variance (anava) analysis technique with a significance level of 0.05. The results showed that (1) There was an influence of problem-based learning methods on the mathematical problem solving ability of Class V students of SD Negeri 0407 Mondang 2017/2018 Academic Year; (2) There is an influence of student learning motivation on the mathematical problem solving ability of fifth grade students of SD Negeri 0407 Mondang for the Academic Year 2017/2018; and (3) There is an interaction between problem-based learning methods and students' motivation to the mathematical problem solving ability of students of Class V of SD Negeri 0407 Mondang 2017/2018 Academic Year. Practically, this study recommends that teachers use problem-based learning methods in mathematics learning and pay attention to the level of student motivation so that the learning design is adjusted to that motivation level. Theoretically, this study contributes to adding knowledge related to problem-based mathematics learning in elementary schools. Further studies can deepen studies related to the suitability of student characteristics with the selected learning method because these aspects are indicated as one of the key factors for student learning success.

scholarly journals Think Pair Share With Comic For Mathematical Problem Solving Skills

2019 ◽  
Vol 9 (3) ◽  
Author(s):  
Turyanto Turyanto ◽  
Denik Agustito ◽  
Sri Adi Widodo
Keyword(s):  
Problem Solving ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Sampling Technique ◽  
Rank Test ◽  
Mathematical Problem Solving ◽  
Problem Solving Skills ◽  
Post Test ◽  
Signed Rank Test ◽  
Parametric Statistical Test

The purpose of this study was to find out that Think Pair Share with mathematical comics is more effective than Think Pair Share learning without using comics. The research method used is an experiment with the design of Post-test-Only Control Design. The sample size was 64 students taken using cluster random sampling technique. The instrument used in this study is the Mathematical Problem Solving Test. Data analysis techniques were used using the Wilcoxon Signed Rank Test non-parametric statistical test. The results of the study showed that the learning of Think Pair Share models by using mathematical comics was no more effective than learning Think Pair Share without using comics. Although this study shows the opposite results from existing theoretical studies, in general, the use of learning media such as mathematical comics collaborated with any model can make mathematics learning more effective.

scholarly journals Application of Mathematical Problem Solving Sheets in Polya's Learning Strategy in Social Arithmetic Material

2021 ◽  
Vol 13 (2) ◽  
pp. 707-717
Author(s):  
Hastri Rosiyanti ◽  
Dyah Ayu Ratnaningsih ◽  
Herwina Bahar ◽  
Is wan ◽  
Fai sal
Keyword(s):  
Problem Solving ◽  
Learning Strategies ◽  
Junior High School ◽  
Learning Strategy ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Sampling Technique ◽  
Mathematical Problem Solving ◽  
Problem Solving Skills ◽  
Better Than

This research is motivated by the students 'mathematical problem solving ability is still low, because mathematics learning in the classroom is not built to hone problem solving skills and the student worksheets used do not help students in honing students' mathematical problem solving skills, so the writer applies Polya's learning strategy with the help of problem solving sheet on social arithmetic material. This study aims to describe the steps of implementing Polya's learning strategy with the help of problem solving sheets in solving mathematical problems in social arithmetic material and to test mathematical problem solving skills by applying Polya's learning strategies with the help of problem solving sheets is it better than not implementing learning strategies Polya. This research was conducted using a quasi experimental method, with a population of all students of class VII Junior High School 3 Cisauk, Indonesia. The sample was selected using purposive sampling technique, namely students of class VII-6 and grade VII-7. Collecting data on students' mathematical problem-solving abilities using the final test (posttest). The results showed that Polya's learning strategy with the help of problem solving sheets on social arithmetic material was implemented properly and in accordance with Polya's steps. Based on the statistical test, it shows that the mathematical problem solving ability of students whose learning applies Polya's learning strategy with the help of problem-solving sheets is better than students whose learning does not apply Polya's learning strategy on class VII social arithmetic material at SMP Negeri 3 Cisauk, Indonesia.

scholarly journals Development of Problem Based Learning Devices in Two Variable Linear Equation System Materials

2021 ◽  
Vol 5 (2) ◽  
pp. 325
Author(s):  
Farida Farida ◽  
Kartini Kartini ◽  
Sehatta Saragih
Keyword(s):  
Data Analysis ◽  
Problem Solving ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Equation System ◽  
Student Response ◽  
Mathematical Problem Solving ◽  
Learning Tools ◽  
Problem Solving Skills

The student learning activities do not support developing mathematical problem solving abilities. One of the factors is the learning tools used have not provided the opportunity for students to hone their mathematical problem solving skills. This study aims to produce a valid and practical semester VIII class SMP mathematics learning device for use by using the Problem Based Learning Model with a scientific approach to the SPLDV material. This type of research is a development research with the ADDIE development model which includes the following steps: (1) analysis, (2) design, (3) development, (4) implementation, (5) evaluation. Data were collected through observation, interviews, and student response questionnaires. The subjects of this study were students of class VIII MTS GUPPI Bandar Sungai. Data analysis techniques used qualitative and quantitative statistics. Based on the results of data analysis, information was obtained that the learning device met the valid and practical criteria. The results of the validity of the learning tools in the form of a syllabus with a percentage of 82.99%, RPP 85.75% and LKPD of 83.23% fulfilled the validity level, namely valid. The results of the practicality of the learning tools seen from the student response questionnaire were 92%, these results met the practicality level, which was very practical, while in terms of the teacher's observation sheet it fulfilled the practicality level of 87.78% fulfilling the very practical level.

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