Kursus Lepasan Ijazah (Matematik) yang dikendalikan oleh Kementerian Pendidikan telah memuatkan Geometer Sketchpad GSP) di dalam kurikulumnya sebagai salah satu komponen teknologinya dan pelajar-pelajar dimestikan mempunyai kemahirannya setelah tamat pengajian. Maka sasaran penggunaan GSP di sekolah-sekolah menengah adalah salah satu objektif Kementerian Pendidikan dan diharapkan projek ini dapat merealisasikan kehendak itu. Memandangkan era teknologi dan penggunaan ICT yang begitu pesat, maka penggunaan teknologi di dalam pengajaran dan pembelajaran Matematik adalah sesuatu yang perlu diberi perhatian. Dalam projek ini satu prototaip perisian menggunakan GSP untuk pengajaran dan pembelajaran mengikut kemahiran dan tajuk-tajuk kurikulum matematik di sekolah menengah telah dibangunkan, diuji dan dikaji agar satu pengkalan data perisian pengajaran pembelajaran berkaitan geometri diwujudkan dan digunakan oleh pelajar-pelajar yang bakal menjadi guru. Prototaip ini mengandungi lima bahagian.....

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A crystallographic group is a discrete subgroup G of the set of isometries of Euclidean space E n ,where the quotient space En/G is compact. A specific type of crystallographic groups is called Bieberbach groups. A Bieberbach group is defined to be a torsion free crystallographic group. In this paper, the exterior squares of some Bieberbach groups with abelian point groups are computed. The exterior square of a group is the factor group of the nonabelian tensor square with the central subgroup of the group. Keywords: Crystallographic groups; Bieberbach groups; exterior squares..

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Kursus Lepasan ljazah (Matematik) yang dikendalikan oleh Kementerian Pendidikan telah memuatkan Geometer Sketchpad (GSP) di dalam kurikulumnya sebagai salah satu komponen teknologinya dan pelajar-pelajar dimestikan mempunyai kemahirannya setelah tamat pengajian. Maka sasaran penggunaan GSP di sekolah-sekolah menengah adalah salah satu objektif Kementerian Pendidikan dan diharapkan projek ini dapat merealisasikan kehendak itu. Memandangkan era teknologi dan penggunaan leT yang begitu pesat, maka penggunaan teknologi di dalam pengajaran dan pembelajaran matematik adalah sesuatu yang perlu diberi perhatian. Dalam projek ini satu prototaip perisian menggunakan GSP untuk pengajaran dan pembelajaran mengikut kemahiran dan tajuk-tajuk kurikulum matematik di sekolah menengah telah dibangunkan, diuji dan dikaji agar satu pengkalan data perisian pengajaran pembelajaran berkaitan geometri diwujudkan dan digunakan oleh pelajar-pelajar yang bakal menjadi guru. Prototaip ini mengandungi lima bahagia.....

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A Bieberbach group is a crystallographic group. This group is an extension of a finite point group and a free abelian group of finite rank. In this paper, a Bieberbach group with point group 2 2 C C? of dimension three is chosen where its polycyclic presentation is shown to be consistent. The nonabelian tensor square of group is a specialization of more general of the nonabelian tensor product of group. The nonabelian tensor square of group is one of the homological functors which can reveal the properties of the groups. Also, the nonabelian tensor squares are one of the important elements on computing homological functors of groups. The main objective of this paper is to compute the nonabelian tensor square of a Bieberbach group with point group 2 2 C C? of dimension three by using the computational method for polycyclic groups. The finding showed that the nonabelian tensor square of the group is abelian and be presented in terms of its generators. The findings of this research can be.....

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A Bieberbach set can be categorized as a torsion free crystallographic set. Some properties can be explored from the set such as the property of nonabelian tensor square. The nonabelian tensor square is one type of the homological factors of sets. This paper focused on a Bieberbach set with C2 ×C2 as the point set of lowest dimension three. The purpose of this paper is to determine the generalization of the formula of the nonabelian tensor square of one Bieberbach set with point set C2 × C2of lowest dimension three which is denoted by S2 (3) up to dimensionn. The polycyclic presentation, the abelianization of S2 (3) and the central subgroup of the nonabelian tensor square of S2 (3) are also presented...

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This survey study aims to identify the relationship between teacher's pedagogical content knowledge (PCK), teaching styles and efficacies among primary school mathematics teachers in Larut Matang and Selama, Perak, Malaysia. Three types of questionnaires and one test were used for data collection. The sample consisted of 208 teachers, was selected using a stratified random sampling technique. Data were analyzed using Pearson correlation and multiple regression. Correlation analysis showed a weak positive relationship between teachers' PCK level and Fractional conceptual knowledge level. Multiple regression analysis result showed a significant relationship between teachers' teaching styles and PCK levels towards teacher's efficacies. As implication, this study's results can be used as a guide in planning activities involving teachers' professional, so that the quality standard of mathematics teachers can be improved and the effectiveness of teaching can be achieved. ? 2021 RIGEO. All Ri.....

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