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MATHEMATICS TEACHING PLANNING

 Critical Teaching Skills for
   Presenting Information




                     GROUP 8:

       1.   KARTIKA CANDRA            (A1C010019)
       2.   MIFTAHUL JANNAH           (A1C010020)
       3.   RIKA FEBRIANTI            (A1C010021)
       4.   MARIZA ELIANORA           (A1C010038)
       5.   EKI RAHMAD                (A1C010042)
                         SEMESTER 5
  COURSE LECTURER: DEWI RAHIMAH, S.Pd., M.Ed.
  MATHEMATICS EDUCATION STUDY PROGRAM
  DEPARTMENT OF MATHEMATIC AND SCIENCE
                      EDUCATION
FACULTY OF TEACHER TRAINING AND EDUCATION
              UNIVERSITY BENGKULU
                             2012
1. Give comments on the following video by connecting it to the
   responding    to    english    language     learners      when   presenting
   information.Following are more ideas:
   a. Men in video presentation this content by used props
   b. Men in video explanation this content enunciate clearly and for my
       group, his voice to slow. So, some word that he say, We don’t
       understand.
   c. Men in video do some repetition for instance he say that “ equal
       height and equal base” so we always remember it and understand it.
   d. I agree with men in video, he don’t speak too quickly and he use
       brief pause. But, his voice too slow at some word.
   e. he written on the board is not in accordance with his demonstration.
       He demonstrated that three times volume of pyramid equal the
       volume of prism. But, he directly write that volume of pyramid ( V=
       1/3 bh),for student who have low comprehension level, they can
       difficult.so, it is important to write down volume of prism equal
       three times volume of pyramid(Vprism = 3.Vpyramid).
   f. in explaination, we don’t find his idiom and his slang.


2. Give comments on the following video by connecting it to the ideas that
   may help in planning demonstration.
 For example from the video, we know that teaching not just explaining
   or asking student. But, we act out to student. At time teacher give us
   practice, teacher for first time introduce props that will be use. Let
   teacher hold up scissors together with told or at time teachers have
   circle object and give know us with say and hold up the props.


 Use a “think-aloud” to explain what you are doing as you do it. As a
   teacher, we prepare our lesson study before all of us teaching to
   student. For example; things that will be used, steps work, and etc.


 As teacher the visual support if we have used props. We give student
   know what kind of props that may be use. So, any real props that
students look. Example; at introduce in practice using is scissors, pencil,
    string, circle object, and so on. And next we want to find or calculate
    and proof the circumference of circle. We using cabin board with y axis
    is across the object and x axis is around the object (ask student to look
    the props).


 Demonstrating the new skill or knowledge only once is generally not
    enough. For example, if you are teaching students to find the
    circumference of circle, let them watch you find the circumference of
    circle with several different pairs of circle.


 On the video, we not find actively involve students in the demonstration
    as appropriate. But we can do it. For example; at time we want to mark
    side of circle we provide to student to do it with guideline from
    teacher.   One    example    again;    at   moment   we   want    measure
    circumference of circle, we involvement student to do it. To put the
    circle to plane, stick mark at the zero point. We ask students to scroll
    the circle from start mark until start mark again.


   We can find that as like teacher, we must be explain from first steps
    until last steps by clearly. For example; first time as teacher give
    students know the utility of learn. Second time, we introduce things
    that may be we using in practice. Third time, begin to work to calculate
    circumference of circle with practice. And the last time, conclude what
    the concluded of our practice about circumference of circle.




3. Give examples responding to diversity when planning visual supports in
    teaching one topic in mathematics.
    Topic : Addition and subtraction of integer.
    To help teacher presentation this material, we use props as a visual
    support.
      I.   We can use card number(kartu bilangan), or we use beam the
           number line(balok garis bilangan)
II.   In powerpoint we writte rule play or step to use card number or
       beam the number line to help students understand our props.


III.   We use underline to mark essential information and we use
       picture to supplement written word in rule play or steps. For
       example:


Rule play beam the number line and we give the underline to the
essential information
   a. Every star demonstration, the position of the beginning of the
       show should always star from the number or scale zero(0)




       -4      -3     -2   -1   0     1    2     3     4     5    6     7   8




   b. Consistently positive number indicated by arrows facing to the
       right and a negative number is always indicated by arrows to the
       left.


   c. If the first number in an arithmetic operation is positive, then
       the tip of the arrow is directed to the positive number and move
       forward with a scale equal to the first number. Conversaly, if the
       first number are negative, then the tip of his arrow directed to
       move with a negative number.


   d. If the arrow stepped forward, then in term of the principle of
       arithmetic operation can be interpreted as the sum advance. If
       arrow backwards stepped, can be interpreted as a subtraction.


       for example:
rule play card number


           if we find the card like               , it is equal to zero(0).




     IV.   Then we print out the step or rule play, so that the student have
           it and can be use at home.


4.   Give examples responding to diversity when giving directions in
     teaching one topic in mathematics.
        a. Shorten and simplify directions.
        Example:
        In mathematics in material algebra, we using elimination method
        and substitution method. We provide students’ question with first
        equation is 2x + 3y = 16 and second equation is x + 2y = 4. Calculate
        value of x and y.


        b. Give fewer directions at a time and have students repeat or
           paraphrase what are to do (check for understanding).
        Example:
        We give students material about circle, and we give explain to
        student about characteristic of circle, and after that we ask student
        to make definition of circle based on their comprehension.


        c. Cue directions with numbers (for example, “first” or “second”)
           and gestures (showing one finger, then two).
        Example:
        In multiplication, exactly in multiplication 9.
        Example: 2 × 9
           1. row ten of our finger, so we can calculate 1-10. If need, mark
        with a pen. To more clear, look at the picture bellow.
2. fold finger in sequence 2 number. 2 number, we take from 2 ×
9. If in multiplication 6 × 9, so finger that must be fold is sixth fold.
   3. calculate each finger in the left side and right side that we
could be calculate. In the left finger that second finger, can we look
one finger. In the finger right can we find eighth finger. So, we can
find 18 from practice and suit with multiplication 2 × 9.




d. Emphasize key words with intonations in your voice and with
   gestures.
Example:
We explain definition about circle or formula of the circle, we using
loud voice with emphasize.


e. Make the directions into a list of steps that students can check
   off as they complete each step.
Example:
Based on answer from number 3, point 3. We make that steps, and
make it empty in some of sentence. And we ask to student to
completed that sentence.


f. Check for understanding by asking specific questions to prevent
   cultural    misunderstandings.    Some     students   will   say   they
understand the teacher’s directions (even when they don’t) to be
          respectful. Avoid asking, “Do you understand the directions?”
          Instead, ask a question like, “What is the first thing you should
          do?” (Zirpoli,2005).
      Example:
      At this point, we give student rectangle. And we ask student to show
      the area of rectangle to we are. May be any student that show as
      like picture bellow :




      Red color is side that student show to we are as form of the area of
rectangle. And may be any student that show to we are as like picture
bellow:




   Red point that show at the interior of rectangle, and this is can’t
   declare as area of rectangle.

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Task 4 PPM - Group 8 - Presenting Information

  • 1. MATHEMATICS TEACHING PLANNING Critical Teaching Skills for Presenting Information GROUP 8: 1. KARTIKA CANDRA (A1C010019) 2. MIFTAHUL JANNAH (A1C010020) 3. RIKA FEBRIANTI (A1C010021) 4. MARIZA ELIANORA (A1C010038) 5. EKI RAHMAD (A1C010042) SEMESTER 5 COURSE LECTURER: DEWI RAHIMAH, S.Pd., M.Ed. MATHEMATICS EDUCATION STUDY PROGRAM DEPARTMENT OF MATHEMATIC AND SCIENCE EDUCATION FACULTY OF TEACHER TRAINING AND EDUCATION UNIVERSITY BENGKULU 2012
  • 2. 1. Give comments on the following video by connecting it to the responding to english language learners when presenting information.Following are more ideas: a. Men in video presentation this content by used props b. Men in video explanation this content enunciate clearly and for my group, his voice to slow. So, some word that he say, We don’t understand. c. Men in video do some repetition for instance he say that “ equal height and equal base” so we always remember it and understand it. d. I agree with men in video, he don’t speak too quickly and he use brief pause. But, his voice too slow at some word. e. he written on the board is not in accordance with his demonstration. He demonstrated that three times volume of pyramid equal the volume of prism. But, he directly write that volume of pyramid ( V= 1/3 bh),for student who have low comprehension level, they can difficult.so, it is important to write down volume of prism equal three times volume of pyramid(Vprism = 3.Vpyramid). f. in explaination, we don’t find his idiom and his slang. 2. Give comments on the following video by connecting it to the ideas that may help in planning demonstration.  For example from the video, we know that teaching not just explaining or asking student. But, we act out to student. At time teacher give us practice, teacher for first time introduce props that will be use. Let teacher hold up scissors together with told or at time teachers have circle object and give know us with say and hold up the props.  Use a “think-aloud” to explain what you are doing as you do it. As a teacher, we prepare our lesson study before all of us teaching to student. For example; things that will be used, steps work, and etc.  As teacher the visual support if we have used props. We give student know what kind of props that may be use. So, any real props that
  • 3. students look. Example; at introduce in practice using is scissors, pencil, string, circle object, and so on. And next we want to find or calculate and proof the circumference of circle. We using cabin board with y axis is across the object and x axis is around the object (ask student to look the props).  Demonstrating the new skill or knowledge only once is generally not enough. For example, if you are teaching students to find the circumference of circle, let them watch you find the circumference of circle with several different pairs of circle.  On the video, we not find actively involve students in the demonstration as appropriate. But we can do it. For example; at time we want to mark side of circle we provide to student to do it with guideline from teacher. One example again; at moment we want measure circumference of circle, we involvement student to do it. To put the circle to plane, stick mark at the zero point. We ask students to scroll the circle from start mark until start mark again.  We can find that as like teacher, we must be explain from first steps until last steps by clearly. For example; first time as teacher give students know the utility of learn. Second time, we introduce things that may be we using in practice. Third time, begin to work to calculate circumference of circle with practice. And the last time, conclude what the concluded of our practice about circumference of circle. 3. Give examples responding to diversity when planning visual supports in teaching one topic in mathematics. Topic : Addition and subtraction of integer. To help teacher presentation this material, we use props as a visual support. I. We can use card number(kartu bilangan), or we use beam the number line(balok garis bilangan)
  • 4. II. In powerpoint we writte rule play or step to use card number or beam the number line to help students understand our props. III. We use underline to mark essential information and we use picture to supplement written word in rule play or steps. For example: Rule play beam the number line and we give the underline to the essential information a. Every star demonstration, the position of the beginning of the show should always star from the number or scale zero(0) -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 b. Consistently positive number indicated by arrows facing to the right and a negative number is always indicated by arrows to the left. c. If the first number in an arithmetic operation is positive, then the tip of the arrow is directed to the positive number and move forward with a scale equal to the first number. Conversaly, if the first number are negative, then the tip of his arrow directed to move with a negative number. d. If the arrow stepped forward, then in term of the principle of arithmetic operation can be interpreted as the sum advance. If arrow backwards stepped, can be interpreted as a subtraction. for example:
  • 5. rule play card number if we find the card like , it is equal to zero(0). IV. Then we print out the step or rule play, so that the student have it and can be use at home. 4. Give examples responding to diversity when giving directions in teaching one topic in mathematics. a. Shorten and simplify directions. Example: In mathematics in material algebra, we using elimination method and substitution method. We provide students’ question with first equation is 2x + 3y = 16 and second equation is x + 2y = 4. Calculate value of x and y. b. Give fewer directions at a time and have students repeat or paraphrase what are to do (check for understanding). Example: We give students material about circle, and we give explain to student about characteristic of circle, and after that we ask student to make definition of circle based on their comprehension. c. Cue directions with numbers (for example, “first” or “second”) and gestures (showing one finger, then two). Example: In multiplication, exactly in multiplication 9. Example: 2 × 9 1. row ten of our finger, so we can calculate 1-10. If need, mark with a pen. To more clear, look at the picture bellow.
  • 6. 2. fold finger in sequence 2 number. 2 number, we take from 2 × 9. If in multiplication 6 × 9, so finger that must be fold is sixth fold. 3. calculate each finger in the left side and right side that we could be calculate. In the left finger that second finger, can we look one finger. In the finger right can we find eighth finger. So, we can find 18 from practice and suit with multiplication 2 × 9. d. Emphasize key words with intonations in your voice and with gestures. Example: We explain definition about circle or formula of the circle, we using loud voice with emphasize. e. Make the directions into a list of steps that students can check off as they complete each step. Example: Based on answer from number 3, point 3. We make that steps, and make it empty in some of sentence. And we ask to student to completed that sentence. f. Check for understanding by asking specific questions to prevent cultural misunderstandings. Some students will say they
  • 7. understand the teacher’s directions (even when they don’t) to be respectful. Avoid asking, “Do you understand the directions?” Instead, ask a question like, “What is the first thing you should do?” (Zirpoli,2005). Example: At this point, we give student rectangle. And we ask student to show the area of rectangle to we are. May be any student that show as like picture bellow : Red color is side that student show to we are as form of the area of rectangle. And may be any student that show to we are as like picture bellow: Red point that show at the interior of rectangle, and this is can’t declare as area of rectangle.