scholarly journals Piloting a problem solving module for undergraduate mathematics students

2019 ◽  
Vol 17 (2) ◽  
pp. 46
Author(s):  
David McConnell

We report on a new problem solving module for second-year undergraduate mathematics students first piloted during the 2016-17 academic year at Cardiff University.  This module was introduced in response to the concern that for many students, traditional teaching and assessment practices do not offer sufficient opportunities for developing problem-solving and mathematical thinking skills, and more generally, to address the recognised need to incorporate transferrable skills into our undergraduate programmes.  We discuss the pedagogic and practical considerations involved in the design and delivery of this module, and in particular, the question of how to construct open-ended problems and assessment activities that promote mathematical thinking, and reward genuinely original and independent mathematical work.  

2017 ◽  
Vol 9 (1) ◽  
pp. 45
Author(s):  
Nanang Nanang

The purpose of this study to determine the effect of CAI-Contextual learning of the ability to think mathematically and character of the student teacher participants of the course Capita Selecta Mathematical SMA. The population in this study is the fourth semester students of Mathematics Education STKIP Garut academic year 2015/2016. Selection of the sample by means of random sampling, the students obtained grade B as an experimental class and class A as the control class. Experimental class taught by CAI-Contextual learning, whereas the control class was taught by conventional learning. Retrieval of data obtained by the test method to get the data value of the initial knowledge of mathematics students and Mathematical Thinking Skills as well as the method of questionnaire to measure student character, and then analyzed with the average difference. The results showed that there are differences in the ability to think mathematically and character class students experiment with the control class. Since the average mathematical thinking skills and character students experimental class is bigger than the control class, it can be concluded that the CAI-Contextual learning positively affects the ability to think mathematically and character of the student teacher participants of the course Capita Selecta Mathematical SMA.


2021 ◽  
Vol 58 (3) ◽  
pp. 53-62
Author(s):  
A.K. Alpysov ◽  
◽  
A.K. Seytkhanova ◽  
I.Sh. Abishova ◽  
◽  
...  

The article discusses the ways of developing skills and abilities to effectively solve problems when describing methods for solving equations and inequalities, clarifying theoretical knowledge, the basics of forming skills for practical application. The formation of mathematical concepts through solving problems in teaching mathematics opens the way to the development of mathematical thinking, the application of knowledge in practice, and the development of search skills. To master a mathematical concept, along with its definition, it is necessary to know its features and properties. This can be achieved primarily through problem solving and exercise. Problem solving is based on the development of new methods, the creation of algorithms, ways of developing practical skills in the methods and techniques mastered with the help of tasks.In addition, transforming equations and inequalities through the development of thinking skills helps to identify common or special properties in order to draw correct conclusions. Solving various problems, it shows what operations should be used to determine the situation in which a solution was found, and what features of the solution allow choosing the most effective methods. Thanks to the theoretical substantiation of the general article, it is possible to master convenient methods for solving equations and inequalities of various structures.


2018 ◽  
Vol 2 (2b) ◽  
pp. 30-36
Author(s):  
Misyana Misyana ◽  
Indah Mayasari

ABSTRAK   Pada abad 21 dimana masyarakat sudah menggunakan teknologi, layak kalau anak-anak usia dini juga dipersiapkan untuk memiliki kemampuan yang lebih baik, utamanya di kemampuan berpikir. Sudah saatnya anak diberikan kegiatan yang lebih menantang dan menggunakan strategi yang tepat sehingga kemampuan anak benar-benar dapat meningkat lebih baik. Salah satu upaya untuk meningkatkan kemampuan berpikir kritis anak melalui bermain sains, salah satu permainan yang disukai anak yaitu bermain balon. Strategi  yang dipergunakan untuk meningkatkan kemampuan anak, pemecahan masalah (problem solving) dan penemuan terbimbing (Guided Discovery). Masalah yang akan dipecahkan pada tindakan ini adalah bagaimana permainan sains dapat meningkatkan kemampuan berpikir kritis anak, pada kelompok A (4-5 tahun) di Laboratorium Paud Yasmin Jember tahun ajaran 2018/2019. Adapun jenis penelitian yang dilakukan peneliti  adalah tindakan kelas, metode pengumpulan data yang digunakan dalam penelitian kali ini peneliti sebagai guru dan guru sebagai observer, wawancara dan dokumentasi. Data yang dikumpulkan berupa aktivitas anak selama kegiatan bermain sains, hasil wawancara dengan anak dan guru kelompok A. Berdasarkan hasil penelitian dapat disimpulkan bahwa bermain sains dapat meningkatkan keterampilan berpikir kritis secara signivikan. Secara klasikal dari 15 anak terdapat 13 anak yang berkembang kemampuan berpikir kritisnya secara individual dan 2 anak yang belum berkembang. Diketahui perkembangan kemampuan berpikir kritis anak secara klasikal yang diperoleh 86,66% yang berarti perkembangan kemampuan berpikir kritis anak kelompok A secara klasikal tercapai.   Kata Kunci: berfikir kritis, bermain sains, PAUD.   ABSTRACT   In the 21st century where people have used technology, it is feasible that early childhood are also prepared to have better abilities, especially being able to think. It's time for children to be given more challenging activities and use the right strategies, and the children ability can really improve better. One of the efforts to improve children's critical thinking skills through playing science, one of the games that children love is playing balloons. Strategies used to improve children's ability, problem solving and guided discovery. The problem that will be solved in this action is how the game of science can improve children's critical thinking skills, in group A (4-5 years) in the Laboratory of Paud Yasmin Jember 2018/2019 academic year. The type of lecturers conducted is class action lectures, data collection methods used in this lecture are observation, interviews and documentation. Data collected in the form of children activities during science playing activities, results of interviews with children and teacher of group A. Based on the results of lecturers, it can be concluded that playing science can improve critical thinking skills in a significant way. Classically from 15 children there are 13 children who develop their critical thinking skills, and 2 children are undeveloped. It is known that the development of children critical thinking abilities classically is 86.66% which means that the development of children critical thinking abilities in group A is classically achieved.   Keywords: Critical thinking, science games, PAUD.


1985 ◽  
Vol 32 (6) ◽  
pp. 58-60
Author(s):  
Thomas P. Carpenter

One of the most basic questions with regard to mathematical thinking is “What is mathematical thinking?” This question Is not the kind that is readily answered by empirical research. However, research can provide some perspective on the nature of mathematical thought if the question is rephrased: “What characterizes the thinking of individuals who have demonstrated a high level of ability in mathematics?” Research that compares the abilities of very capable mathematics students with those of less capable students or the problem-solving processes exhibited by experts and novices otfers some insights into this question.


2000 ◽  
Vol 5 (8) ◽  
pp. 534-539
Author(s):  
Jinfa Cai ◽  
Patricia Ann Kenney

The reform movement in school mathematics advocates communication as a necessary component for learning, doing, and understanding mathematics (Elliott and Kenney 1996). Communication in mathematics means that one is able not only to use its vocabulary, notation, and structure to express ideas and relationships but also to think and reason mathematically. In fact, communication is considered the means by which teachers and students can share the processes of learning, doing, and understanding mathematics. Students should express their thinking and problem-solving processes in both written and oral formats. The clarity and completeness of students' communication can indicate how well they understand the related mathematical concepts.


2017 ◽  
Vol 5 (9) ◽  
pp. 133 ◽  
Author(s):  
Halil Onal ◽  
Mehmet Inan ◽  
Sinan Bozkurt

The aim of this research is to examine the mathematical thinking skills of licensed athletes engaged in individual and team sports. The research is designed as a survey model. The sample of the research is composed of 59 female and 170 male licensed athletes (n = 229) and (aged 14 to 52) licensed who do the sports of shooting, billiards, archery, tennis, basketball, football, volleyball in various clubs in Turkey. The "Mathematical Thinking Scale" developed by Ersoy (2012) has been employed in the research. Individual sports athletes are more likely to have higher mathematical thinking scores than team athletes. In sports types; those who play billiards and archery have higher scores of mathematical thinking skills compared to other sports types. According to the type of sports the lowest scores of thinking skills were obtained by basketball players. These differences are valid for higher-level thinking tendencies, reasoning, mathematical thinking skills and problem-solving skills, which are sub-dimensions of the mathematical thinking scale.


Author(s):  
Nurmudi Nurmudi

AbstractThe purpose of this study is to improve students' mathematical thinking skills using a realistic mathematical approach. The research is a Classroom Action Research (CAR) conducted collaboratively and participatively. The subject of the research was the students of class VIII B, State Junior High School 2 Giriwoyo, in the academic year 2017/2018 with 32 students. While the object of research is the whole process of learning mathematics through the application of a realistic mathematical approach implemented in class VIII B of SMP Negeri 2 Giriwoyo. Based on data obtained from observations, field notes, questionnaires, interviews, tests of cycle I and cycle II, as well as documentation, the researcher concludes that mathematics learning activities through the application of a realistic mathematical approach in class VIII B of SMP Negeri 2 Giriwoyo are carried out according to plans that have been prepared . In addition, the purpose of the action taken is to improve students' mathematical thinking abilities achieved. Keywords: Realistic Mathematics Approach, Mathematical Thinking Ability


Author(s):  
Diana Vivanti Sigit ◽  
Erna Heryanti ◽  
Dyah Ayu Widya Pangestika ◽  
Ilmi Zajuli Ichsan

<div align="center"><table width="645" border="1" cellspacing="0" cellpadding="0"><tbody><tr><td valign="top" width="439"><p><strong>Abstract:</strong> The ability to think creatively and problem solving is the ability that students must have in 21st century. The purpose of this research was to determine the relationship between creative thinking skills and students' problem solving abilities in environmental change material. The research method used is descriptive correlational method. The research was conducted at High School 4 Bekasi in semester of the 2018/2019 academic year. The sample was taken through simple random sampling technique as many as 138 students. The results showed a correlation coefficient between the ability to think creatively with students' problem solving abilities of 0.825. The conclusion of this study is that there is a positive relationship between the ability to think creatively with students' problem solving skills.</p><p class="Abstract"><strong>Abstrak:</strong><em> </em>Kemampuan berpikir kreatif dan pemecahan masalah adalah kemampuan yang harus dimiliki siswa untuk menghadapi tantangan abad ke-21. Tujuan penelitian ini untuk mengetahui hubungan antara kemampuan berpikir kreatif dan kemampuan pemecahan masalah siswa pada materi perubahan lingkungan. Metode penelitian yang digunakan adalah metode deskriptif korelasional. Penelitian dilaksanakan di SMA Negeri 4 Bekasi pada semester ganjil tahun ajaran 2018/2019. Sampel diambil melalui teknik simple random sampling sebanyak 138 siswa. Hasil penelitian menunjukkan koefisien korelasi antara kemampuan berpikir kreatif dengan kemampuan pemecahan masalah siswa sebesar 0,825. Kemampuan berpikir kreatif memberikan kontribusi sebesar 68% terhadap kemampuan pemecahan masalah siswa. Kesimpulan dari penelitian ini adalah terdapat hubungan positif antara kemampuan berpikir kreatif dengan kemampuan pemecahan masalah siswa.</p></td></tr></tbody></table></div>


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