Determinan Matriks Sirkulan Dengan Metode Kondensasi Dodgson

One of the important topics in mathematics is matrix theory. There are various types of matrix, one of which is a circulant matrix. Circulant matrix generally fulfill the same operating axioms as square matrix, except that there are some specific properties for the circulant matrix. Every square matrix has a determinant. The concept of determinants is very useful in the development of mathematics and across disciplines. One method of determining the determinant is condensation. The condensation method is classified as a method that is not widely known. The condensation matrix method in determining the determinant was proposed by several scientists, one of which was Charles Lutwidge Dodgson with the Dodgson condensation method. This paper will discuss the Dodgson condensation method in determining the determinant of the circulant matrix. The result of the condensation of the matrix will affect the size of the original matrix as well as new matrix entries. Changes in the circulant matrix after Dodgson's conduction load the Toeplitz matrix, in certain cases, the determinant of the circulant matrix can also be determined by simple mental computation.

THE EFFECT OF USING MENTAL COMPUTATION IN IMPROVING MATHEMATICAL PROBLEM - SOLVING ABILITY AMONG STUDENTS

<p>The present study aimed to identify the effect of mental computation in improving the ability of university undergraduates in mathematical problem - solving. To achieve this aim, the quasi - experimental approach was used. Participants were (80) preparatory year students at Najran University in Saudi Arabia who were distributed into two main groups using the simple random sampling. One of these groups (N = 40) was assigned as the experimental group and was taught via the use of mental computation method. The second group (N = 40) was assigned as the control group and studied through the use of traditional methods. Mathematical problem - solving ability pre-test and posttest were applied to both groups. Findings showed that there were statistically significant differences between the two groups with regard to the mathematical problem- solving posttest in favor of the experimental group.</p><p> </p><p><strong> Article visualizations:</strong></p><p><img src="/-counters-/edu_01/0994/a.php" alt="Hit counter" /></p>

Card game as a pedagogical tool for numeracy skills development

<p><span lang="EN-US">Given the hypothesis that card games form a strong tool capable of shaping the aforementioned interest, this study has developed a card game called Math Zap as a pedagogical tool for numeracy skills development in the context of mental computation. It is geared towards investigating the efficacy of this Math Zap card game, in facilitating the development of numeracy skills amongst learners, and their attitude towards using it as a pedagogical tool. A mix method approach using an experimental and descriptive design was taken and tested amongst 34 primary school students aged 12 to 13. From the results of the study, it is found that the Math Zap card game is a highly effective learning tool in so far as the enhancement of students’ numeracy computation skills in the areas of fractions, percentages and decimals are concerned. This is evidenced by a statistical significant pre-post test score increment. Furthermore, students were rather positive and receptive towards the game, further substantiating the claim of it being a useful pedagogical tool.</span></p>

Developing Elementary School Students’ Mental Computation Skills through Didactic Games

"Abstract: Our research focuses on developing elementary students’ mental computation skills with the help of card games. Choosing this area of study was motivated by our personal experiences, namely, that mathematics programmes of study do not lay emphasis on this aspect; there are too few hours dedicated to developing this skill, and several mental computation strategies are not presented in the classroom. As a result, students struggle with mental computation, a basic skill needed in our day-to-day life, and a relevant basis for further mathematical knowledge, computation competence, and higher order thinking skills. In order to develop this skill, we have transformed well-known card games into didactic games, which encourage development almost unnoticeably, given the fact that children love to play, they need play. We have devised five new, appealing tools, with different levels of difficulty, suitable for developing mental computation skills in an attractive way. This paper presents an experiment involving second grade (8-9 years old) students. Two experimental groups were involved. The aim was to investigate whether mental computation is more efficient when using the traditional method or when using card games. We hypothesized that using card games might prove helpful in developing mental computation skills."