5/27/2011 NOMBOR BULAT (WHOLE NUMBERS)

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1 MTE3109: TEACHING OF NUMBERS, FRACTIONS, DECIMALS & PERCENTAGES NOMBOR BULAT (WHOLE NUMBERS) Konsepbijak nombor Pengalaman pranombor Strategi membilang (counting) Perkembangan konsep nombor awal Reys, R., Lindquist, M.M., Lambdin, D.V., Smith, N.L., & Suydam, M.N. (2004). Helping Children Learn Mathematics, (7th ed.). Hoboken, NJ: John Wiley and Sons. McIntosh, A. (1992). Two needed revolutions. In C. J. Irons (Ed.), Challenging children to think when they compute: Conference papers (pp ). Brisbane: The Centre for Mathematics and Science Education. NUMBER SENSE An intuitive feel for numbers and their various uses and interpretations 1

2 Bobis (1996) "a well organised conceptual framework of number information that enables a person to understand numbers and number relationships and to solve mathematical problems that are not bound by traditional algorithms" NCTM (1989) Five components characterisenumber sense: Well-understood number meanings Multiple relationships among numbers Recognition of the relative magnitude of numbers Knowledge of the effect of operations on numbers Referents to measure of things in the real world. Mengaplikasi kemahiran berfikir ke atas nombor 23+98=? Mengenal pelbagai bentuk nombor yang berlainan 28x25=? 6x6 12x12 25x25 50x50 7x5 13x11 26x24 51x49 KLASIFIKASI OBJEK Classification of objects in different ways fosters the development of thinking skills 2

3 Pola membantu murid membina number sense, menyusun secara tertib (ordering) serta mengikut sekuens, dan membilang BULATAN ATAU PENTAGON MENIRU CORAK / POLA [PATTERN] Patterns are also helpful in developing thinking strategies for basic facts and in developing algebraic thinking Murid-murid juga boleh Mencari ahli seterusnya dalam satu pola nombor (1, 2, 3, 5,.) Menyambung sesuatu pola yang diberikan Menghasilkan pola / corak sendiri 3

4 Adakah terdapat lebih lelaki atau wanita dalam gambar di sebelah? Sekiranya anda seorang pelajar Tahun 1, bagaimanakah anda dapat menentukan jawapan kepada soalan tersebut? Membandingkan antara dua kumpulan Membilang Membanding tanpa membilang ( buat subkumpulan) Padanan satu-ke-satu (susun dalam teratur) Mungkin terdapat muridtahap 1 yang masih belum menguasai konsep pengabadian nombor. Aktiviti p&p yang melibatkan penyusuan semula sejumlah objek harus diperbanyakkan. 4

5 Mengenali kumpulan objek tanpa mengira Juga dikenali sebagai subitizing iaitu mengenali segera dengan melihat sahaja [instantly see how many] Murid perlu mengingati nama bagi suatau nombor cth satu, dua, tiga, dan juga turutannya Mengira bukan suatu kemahiran yang mudah untuk murid awal persekolahan Apakah kesukaran yang pernah anda saksikan dalam kalangan murid anda ketika belajar membilang? 5

6 1. One-to-one correspondence [setiap objek diberikan satu nombor sahaja] 2. Stable order rule [nombor disebut dalam turutan yang tidak berubah] 3. Order irrelevance [turutan objek tidak penting] 4. Cardinality rule [ jumlah objek sama dengan nombor bilangan terakhir] Keempat-empat prinsip membilang dapat ditunjukkan oleh murid yang telah menguasai rational counting Counting on Boleh bermula pada mana-mananombor Penting bagi memupuk kemahiran menambah 6

7 Counting back Membantu murid melihat pola dan perhubungan antara nombor Skip counting Membantu murid menerokapelbagai pola nombor Membantu memupuk kesediaan murid untuk kemahiran mendarab dan membahagi Nombor kardinal Menunjukkan jumlah Nombor ordinal Menunjukkan turutan Nombor nominal Menunjukkan klasifikasi sahaja Perlu pelbagai latihan mengukuhkan konsep pra-nombor Perlu pelbagai latihan mengukuhkan kemahiran membilang P&p harus memanfaatkan pengalaman murid dengan nombor dan kemahiran membilang 7

8 Apakah ciri-ciri nombor? [What are some characteristics of numbers?] Huraikan dengan contoh yang sesuai maksud bijak nombor. [Illustrate with examples the meaning of number sense]. Prepare a set of materials that can be helpful for counting learning basic facts (eg. Ten-frame) writing and recording numbers Try out the resources with your peersduring micro teaching 8

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