UNESCO, 2004, 2003 7109 100 (, 2004) 1974 1987 4 1 4 3 1 bilog bilog bilogcircle 1
2 1 bilog Bilog 12 9 3 6 Bilog 2-1 bilog circle round bilog 2
3-1 Pasong Tamo Elementary School ( PTES) PTES 4,000 1 10 2 1 (50 ) 2 (50 ) 4 1 (53 ) 3 (50 ) 1 1 2 5 4 4 PTES 2 1 2 4 1 3 2005 3 6 10 11 3 2 2 4 ( NISMED) 2 3
3-2 2 Circle Bilog Circle Bilog 1,2,3,4 5,6 7 3-3 3-3-1 Circle Bilog circlebilog g g g bilog 92% 82% circle 84% 96.2% 4 d g 14 bilog circle h bilog a h h bilog 66% 14% circle 0% 83%a h a h bilog 30% 76% circle 98% 15.1% bilog h 4 a,c,d,e,h,i circle 2 a,h 4 h 2 4 2 4 bilog 15 circle 4 circle e bilog b,c,e,h 4 e 4
bilog 36% 10% circle 0% 79.2% 2 1 e b b,e,h 12 4 3 b,c,e,f,h,i 34% b,c,e,h,i 20% 2 bilog 2 2 b,c,e,h,i 40%b,e,h 22% b,e,h,i 18% 4 1 e 79.2% 8% circle 2 4 2 4 bilog 4 bilog circle 4 3-1 3 5
circle b,d,j 3 bilog b,d,j 3 bilog 6% 28% circle 64% 7.5% bilog 2 9 4 14 circle 2 11 4 bilog circle 2 4 3-2 b d 77.3% 3-2 4 3-3 1 4 50 6
(bilog) (circle) 2 12 9 3 6 4 9 12 6 3 3-3 50 CircleBilog 5 7
2 1 () 2 2 ( ) No corners. No sides. No sides. No corners. 4 3 () 4 1 a b c a,b,c a a b c a a,b c 48 40 7 1 (83.3) (14.6) (2.1) 50 50 (100) 49 18 31 (36.7) (63.3) 52 1 (1.9) 37 (71.1) 14 (27.0) 3-4 7 circle round bilog circle round bilog (12) (3) (3) (2) (2) (1) (5) ( 5) (3) (2) (1) (1) (1) (1) (6) (4) (3) (2) (2) (1) (1) (1) (10) (3) (2) (2) (1) (10) (2) (1) (1) (1) (3) (1) (1) (1) (1) 8
(1) (1) (1) (1) (1) (1) (1) (1) 3-5 7 3-3-2 a. 4 2-1:95.9% 2-2:100% 4-3:92.3% 4-1:98% b c 2-1 Filipino English Other F+E F+O E+O b. 21(84) 1(14) 3(12) c. 18(75) 2(8.3) 4(16.7) b24 c25 2-2 Filipino English Other F+E F+O E+O b. 24(49) 2(4.1) 17(34.7) 6(12.2) c. 26(52) 15(30) 9(18) b49 c50 4-3 Filipino English Other F+E F+O E+O b. 18(37.5) 30(62.5) c. 13(27.1) 35(72.9) b48 c48 4-1 Filipino English Other F+E F+O E+O b. 21(40.4) 26(50) 3(5.8) 1(1.9) 1(1.9) c. 24(45.3) 22(41.5) 4(7.5) 3(5.7) b49 c50 3-6 9
F+E: F+O: E+O: F+E F+O E+O 2 4 2 4 2 54.5% 29.1% 2 4 2 4 4 34.6% 11.9% 2 4 2 82.50% 4 93.0% 4 2 2 4 2 10.6% 3-6 10
(1: 2: 3:4: 5: ) 3-7 3-8 3-9 2 4 11
4 (5 2 3.8 4 4.6) (5 2 4.2 4 3.2) 3-4 3-4-1 PTES 1 4 50 3-2 bilog 2 1 4 3 bilog bilog circle 2 2 4 1 circle circle 3-10 bilog 2-1 circle 1 3 4 bilog 4 bilog circle 2 circle bilog circle 5 bilog circle bilog circle bilog circle bilog 3-10 bilog 2 bilog 2 circle 12
3-10 bilog 3-10 bilog 3-1 circle 4 bilog circle bilog bilog bilog 2 2 4 2 bilog bilog bilog 3-4-2 2 4 (bilog) 2 1 bilog 2 2 circle (circle) 13
2 bilog circle 3 6 3 9 6 4 3 bilog 9 4 1 circle 4 3 3 3 3 bilog circle 3-10 50(bilog circle ) PTES 2 4 bilogcircle 14
2 4 4 2 4 3 2 4 4 Damaso E. Badua &others.: 2002, A NEW LOOK AT MATH3, Phoenix Publishing House. 15
Department of Education, Culture And Sports: 1990, Mastering Mathematics Mathematics Textbook for Grade Four. Edward M. Valmorida &Others.: 2002, A NEW LOOK AT MATH4, Phoenix Publishing House. Eloisa B. Salvador &Others.: 1999, A NEW LOOK AT MATH6, Phoenix Publishing House. ;2003. (Institute for the Promotion of Teaching Science and Technology: 2003, Math 6, Kurusapa Tadpao Publishing.) ;2004. -. (Institute for the Promotion of Teaching Science and Technology: 2004, Math 1-5, Kurusapa Tadpao Publishing.) Josephine C. Abinuman &others.: 2002, A NEW LOOK AT MATH2, Phoenix Publishing House. Ma. Cecilia A. Tapia &Others.: 2002, A NEW LOOK AT MATH1, Phoenix Publishing House. Merriam Editorial Staff.: 1994, Tagalog-English English-Tagalog Dictionary, Merriam & Webster Bookstore, Inc. National Statistic Office: 2000, 2000 Census of Population and Housing. Pacita E. Hosaka &Others.: 1998, A NEW LOOK AT MATH5, Phoenix Publishing House. Republic of the Philippines, Department of Education : THE 2002 BASIC EDUCATION CURRICULUM, DepED Orders No.43 s.2002. Vito C. Santos.: 1986, Vicassan s Pilipino-English Dictionary, Philippine Graphic Arts. Inc.,:1983,,. : 1999,,. :2005,. : 1996,, : 2005, 4 5, 16
5. : 1993, 2,. : 1992, 3-1,. : 1996, 6,. :2004,, 25. F, : 1973,,. : 2003,,. :2001, 3 2,. : 2000,, :1997,,. :2005, 1-6, :1998,,, 4, pp.177-185. :2004,,. TK TOYO, :2004, ( ),. : 1997, (1929 46 ). : 2000,, : 1978,,. : 2005,, 11,. C, : 2004,, Name: School: Sex: 17
Grade: Class: Student Questionnaire This questionnaire is not related to your score in mathematics so please answer freely. 1. Please choose which of these shapes are Circle? Circle : a. b. c. d. e. f. g. h. i. j. 2 Please choose which of these shapes are Circle? Circle : a. b. c. d. e. f. g. h. i. 3 Please choose which of these shapes are Circle? Circle : a. b. c. d. e. f. g. h. i. 12 9 3 6 4 Please choose which of these shapes are Circle? Circle : 18
a. b. c. d. e. f. g. h. i. j. k. 5. Match the words in column A with the words in column B. One example has been done for you. A B (English) ----------------- (Filipino) Square Oval Bilog Rectangle Tatsulok Triangle Trianggulo Spiral Pariskat Circle Parihaba Ring Rektanggulo Trapezoid Quadrilateral Round 6 Are these shapes circles or not? Why or why not? If it is not a circle, what do you call it in English(upper part) and Filipino(lower part)? 19
Is it a circle? YES or NO Why or why not? I call it. Example) No Because this shape. Star ---------- a. b. c. d. e. f. 7. Write a short sentence to explain these words to a child in Grade 1. Please explain freely with each word. a. With circle. b. With round. c. With bilog. 20
Student Questionnaire This questionnaire is not related to your score in mathematics. Please answer freely. (1) a. What language do you use at home? ( ) b. What is your father s first language? ( ) c. What is your mother s first language? ( ) (2). When you do the following in your mathematics class, which language is mainly used? (Please check the appropriate column.) a. Answering the teacher s questions. Filipino English Other( ) b. Asking questions to the teacher. Filipino English Other( ) c. Helping friends who can t understand the mathematics problems. Filipino English Other( ) (3). When you do the following during recesses in the school, which language is mainly used? (Please check the appropriate column.) a. Talking with your mathematics teacher. Filipino English Other( ) b. Talking with your other subject teacher. Filipino English Other( ) c. Talking with your friends. Filipino English Other( ) (4) When you do the following outside the school, which language is mainly used? Please check the appropriate column. a. Talking with your friends. Filipino English Other( ) b. Talking with your parents. Filipino English Other( ) c. Talking with your brothers and sisters. Filipino English Other( ) 21
Mathematics class The following statements are about your mathematics class. Please tick the most appropriate response for each statement in a scale of 1-5. (1:strongly disagree, 2:disagree, 3:neutral, 4:agree, 5:strongly agree) 1 2 3 4 5 Example) I am. 1. I am worried about whether the teacher know what I want to tell him/her. 2. I can express my questions very well in the class. 3. I am worried about whether my own thinking is correct. 4. I like to learn mathematics. English The following statements are about English language. Please tick the most appropriate response for each statement in a scale of 1-5. (1:strongly disagree, 2:disagree, 3:neutral, 4:agree, 5:strongly agree) 1 2 3 4 5 1. I am worried about whether the teachers know what I am saying in English. 2. I can express my feelings freely in English. 3. I am worried about whether my own way of speaking in English is correct. 4. I like to learn mathematics in English. Filipino The following statements are about Filipino language. Please tick the most appropriate response for each statement in a scale of 1-5. (1:strongly disagree, 2:disagree, 3:neutral, 4:agree, 5:strongly agree) 1 2 3 4 5 1. I am worried about whether the teachers know what I am saying in Filipino. 2. I can express my feelings freely in Filipino. 3. I am worried about whether my own way of speaking in Filipino is correct. 4. I like to learn mathematics in Filipino. 22