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MATHEMATICS TEACHING PLANNING

CRITICAL TEACHING SKILLS FOR
   PRESENTING INFORMATION




                        GROUP 1:

       1. ERIS PERMATA SARI          (A1C010009)
       2. DWI RIZKITE                (A1C010032)
       3. EKA SUPRIYATNA             (A1C010036)
       4. MUTIA SRI NOVIANI          (A1C010041)
       5. HERIJON MR SIMBOLON        (A1C010043)
                        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. Comment to the 1st video by connecting it to the responding to
   english languange learners when presenting information.
   Based on the video, according to our group we give a comments
   by connecting it to the responding to english languange learners
   when presenting information, this video give visual languange
   good. Based on the point of responding to english language
   learners when presenting information
   a. Communicate meanings of new terms and concepts by using
      gestures, facial expressions, voice changes, pantomimes,
      demonstrations, rephrasing, visuals, props, manipulatives, and
      othercues (Salend and Salinas 2003). The video communicate
      meanings of new term by using the demonstrations and use
      the props. Teacher on the video use the props and
      demostration good and clearly. The teacher explain the
      material with slowly so the student or someone watch the
      video can understand because the teacher give clearly
      explanation.
   b. When you present, enunciate clearly, but donā€™t raise your
      voice (Reed and Railsback 2003). For this point the video give
      an enuncieate clearly, teacherā€™s voice clearly and he still raise
      his voice if the are an important information.
   c. Repetition can help students acquire the rhythm, pitch,
      volume, and tone of the new language (Salend and Salinas
      2003). In this video our group didnā€™t find the repetition.
   d. Donā€™t speak too quickly and use brief pauses at natural points
      to allow learners to process what they are hearing. The video
      speak slowly, and use brief pause so listeners (student) can
      understand the meaning of the lesson. For example to prove
      the volume of cube is 3 x volume of square piramid. When
the speakers (teacher) explain how to prove the volume of
      cube is 3 x volume of square piramid, he speak slowly and he
      use the props, and when he explain with props he use bref
      pauses so the listeners(student) can think in a minute what is
      the speakers say before.
   e. It is important to write clearly and legibly. Print rather than
      use cursive until you are sure your English Language learners
      can read cursive (Reed and Railsback 2003).
   f. Avoid idioms (backseat driver, cute as a bugā€™s ear) and slang
      (hangout, deep pockets), as they can be confusing for English
      language learners (Reed and Railsback 2003). We think that in
      this video did,t use an idiom. As we say before that video is
      good and clearly.
   g. Summarize    the    important   points   of   the   presentation
      frequently, always making sure to emphasize key vocabulary
      words (Reed and Railsback 2003). This video give the
      summarize the important point in end of the presentations.
      And the speakers(teacher) give an important point what is the
      goal of this lesson. For example from this video the teacher in
      the end of the presentation give important point that the
      volume of cube = 3 x volume of square piramid on the contrary
      volume of square piramid = 1/3 volume of cube
2. Comment to the 2nd video by connecting it to the ideas that may
   help in planning demonstration.

   Our group give comments to the video point by point according to
   the ideas that may help in planning demonstration.

   a. Actually act out the skill you are teaching, rather than just
      explaining and asking students to imagine what you want them
      to do.
After we watch the video, we can see that she act everything
   as necessary. She doesnā€™t just ask to imagine what to do. She
   measure the distance across the object by put on the board
   and by thread.
b. Use a ā€œthink-aloudā€ to explain what you are doing as you do
   it.
   Our group canā€™t find this point in the video.
c. Supplement the demonstration with visual supports.
   She has used the visual support. It seems that she use
   coordinate on the blackboard that show the pairs between the
   across distance of objects (placed vertically) and around the
   object (placed vertically).
d. Demonstrating the new skill or knowledge only once is
   generally not enough.
   In the video, she has several ways to get the across distance
   and around distance of the circle object. First, she put the
   object on the coordinate and run it. Second, she use the
   thread to get the comparation between the circumference of
   circle and the diameter of a circle.
e. Actively involve students in the demonstration as appropriate,
   being careful about not asking them to do the demonstration
   for you.
   Itā€™s a good demonstration, If it demonstrated in front of the
   class, it can make the student involved actively. Students can
   follow what the teacherā€™s do. Student can measure the
   distance across and around the object to get the value of phi.
f. When    teaching a    complicated      skill,   demonstrate   each
   individual step of the skill, but also demonstrate all steps
   together.
   In the video, we see that she demonstrate all of steps by
   herself. But if weā€™re in a classroom, we just do it when we
teaching a complicated skill, more than it, we have
            demonstrate the step together with the student.
   3. Responding to Diversity When Planning Visual Supports

      An example for responding to diversity when planning visual
supports:

                     Differences Prism and Pyramids

      When we teach the students about prism and pyramids, so that
the teacher not only uses handbook to teach the students but also use
some media such as the 3D (Three-Dimensional) figure to represent the
lesson or use power point which contains some 3D figures with animation
to make the lesson more interesting for students. Because when they
learn about three-dimensional figures it more effective when we use
visual media, we can see that students more understand and pay more
attention to our lesson compared by using imagination to imagine about
the figure. When they see or they touch the figure, it will be
remembered well and make the students understand about that material
faster. And then, if the teachers use the visual media, they will be
thriftier when using some words to teach. Because when they see,
teacher only guide the students to get the concepts, not to tell the
concept directly but the students find it then the teachers complete the
concept that they have found. A notice for this, we use little words but
itā€™s effective to make the students understand about the lesson.

Example:

   1. When we want to make student find the concept about prism by
      giving them many several example of prism, like cube, rectangular
      prism, hexagonal prism, etc. Maybe before we give them the clue,
      we can ask them form the pictures that we give what the same of
      that pictures and then guiding them to get the concept of prism.
Concepts :

In geometry, a prism is a polyhedron with a n-sided polygonal base
     and n other faces (necessarily all parallelograms) joining
              corresponding sides of the two bases.




   After that, we can show the structure of one prism, such as
   rectangular prism. Then we can give some explanation of the
   characteristics of the prism
2. After they get the concept about what prism is, then we try to ask
    them to find again about what pyramid is.


                          Concepts :

A pyramid is a polyhedron formed by connecting a polygonal base and
a point, called the apex. Each base edge and apex form a triangle. It
                 is a conic solid with polygonal base.
After that, we can show the structure of a pyramid, such as
  hexagonal prism. Then we can give some explanation of the
  characteristics of the pyramid.


3. From the two steps above, actually the students have had the
  concept about what a prism is and what a pyramid is. They knew
  about the characteristics of prism and pyramid. The next step,
  make them find the differences between prism and pyramid.
  Example, we take the rectangular prism and the rectangular
  pyramid for comparison.
4. examples responding to diversity when giving directions in
       teaching one topic in mathematics

Learning materials: Number of angles in a triangle.

learning objectives: determine the angles in a triangle is 180o

tools and materials:

1. paper

2. period

3. ruler

4. scissors

5. black marker

6. Colorful markers

The steps are:
1. Make-up triangle arbitrary

2. Make an angle on each corner of the triangle (use the term to make it)

3. Paint or mark each corner of a triangle with different colors

4. Make a half-circle arc (magnitude obtained from the corners of the
triangle piece)

5. Cut the corners of the triangle.

6. Arrange the pieces to fit the triangle corner arc image that has been
created.

Conclusion: got the angles in a triangle is 180o




   -   Shorten and simplify directions.
       Teachers provide guidance that is short and simple to make-up
       triangle, but no explanation is given as to what kind of triangle
       that must be made by the student.
   -   Give fewer directions at a time and have students repeat or
       paraphrase what are to do (check for understanding).
Teachers give guidance to students to cut corners but not
    explained triangle to be cut to bow or not. The teacher then
    checks whether or not performed by the students. if students cut
    suit with a bow that has been made, then the student is doing the
    right steps, but if not, then the student is doing the wrong move.
-   Cue directions with numbers (for example, ā€œfirstā€ or ā€œsecondā€)
    and gestures (showing one finger, then two).
    Teachers say the first step, the second and subsequent followed
    by finger movements.
-   Emphasize key words with intonations in your voice and with
    gestures.
    Teachers when giving orders cut by giving emphasis and intonation
    practice cutting move.
-   Make the directions into a list of steps that students can check off
    as they complete each step.
    Teachers make the steps work in a lab module. So that students
    can check if they do have measures in accordance with the steps
    desired by the teacher.
-   Check for understanding by asking specific questions to prevent
    cultural misunderstandings. Some students will say they
    understand the teacherā€™s directions (even when they donā€™t) to be
    respectful. Avoid asking, ā€œDo you understand the directions?ā€
    Instead, ask a question like, ā€œWhat is the first thing you should
    do?ā€ (Zirpoli 2005).
    After memebrikan direction, right or tidakkan teachers check
    what is done by the students. whether it is in accordance with the
    directives given by the teacher.

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Task 4 PPM - Group 1 - Presenting Information

  • 1. MATHEMATICS TEACHING PLANNING CRITICAL TEACHING SKILLS FOR PRESENTING INFORMATION GROUP 1: 1. ERIS PERMATA SARI (A1C010009) 2. DWI RIZKITE (A1C010032) 3. EKA SUPRIYATNA (A1C010036) 4. MUTIA SRI NOVIANI (A1C010041) 5. HERIJON MR SIMBOLON (A1C010043) 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
  • 2. 2012 1. Comment to the 1st video by connecting it to the responding to english languange learners when presenting information. Based on the video, according to our group we give a comments by connecting it to the responding to english languange learners when presenting information, this video give visual languange good. Based on the point of responding to english language learners when presenting information a. Communicate meanings of new terms and concepts by using gestures, facial expressions, voice changes, pantomimes, demonstrations, rephrasing, visuals, props, manipulatives, and othercues (Salend and Salinas 2003). The video communicate meanings of new term by using the demonstrations and use the props. Teacher on the video use the props and demostration good and clearly. The teacher explain the material with slowly so the student or someone watch the video can understand because the teacher give clearly explanation. b. When you present, enunciate clearly, but donā€™t raise your voice (Reed and Railsback 2003). For this point the video give an enuncieate clearly, teacherā€™s voice clearly and he still raise his voice if the are an important information. c. Repetition can help students acquire the rhythm, pitch, volume, and tone of the new language (Salend and Salinas 2003). In this video our group didnā€™t find the repetition. d. Donā€™t speak too quickly and use brief pauses at natural points to allow learners to process what they are hearing. The video speak slowly, and use brief pause so listeners (student) can understand the meaning of the lesson. For example to prove the volume of cube is 3 x volume of square piramid. When
  • 3. the speakers (teacher) explain how to prove the volume of cube is 3 x volume of square piramid, he speak slowly and he use the props, and when he explain with props he use bref pauses so the listeners(student) can think in a minute what is the speakers say before. e. It is important to write clearly and legibly. Print rather than use cursive until you are sure your English Language learners can read cursive (Reed and Railsback 2003). f. Avoid idioms (backseat driver, cute as a bugā€™s ear) and slang (hangout, deep pockets), as they can be confusing for English language learners (Reed and Railsback 2003). We think that in this video did,t use an idiom. As we say before that video is good and clearly. g. Summarize the important points of the presentation frequently, always making sure to emphasize key vocabulary words (Reed and Railsback 2003). This video give the summarize the important point in end of the presentations. And the speakers(teacher) give an important point what is the goal of this lesson. For example from this video the teacher in the end of the presentation give important point that the volume of cube = 3 x volume of square piramid on the contrary volume of square piramid = 1/3 volume of cube 2. Comment to the 2nd video by connecting it to the ideas that may help in planning demonstration. Our group give comments to the video point by point according to the ideas that may help in planning demonstration. a. Actually act out the skill you are teaching, rather than just explaining and asking students to imagine what you want them to do.
  • 4. After we watch the video, we can see that she act everything as necessary. She doesnā€™t just ask to imagine what to do. She measure the distance across the object by put on the board and by thread. b. Use a ā€œthink-aloudā€ to explain what you are doing as you do it. Our group canā€™t find this point in the video. c. Supplement the demonstration with visual supports. She has used the visual support. It seems that she use coordinate on the blackboard that show the pairs between the across distance of objects (placed vertically) and around the object (placed vertically). d. Demonstrating the new skill or knowledge only once is generally not enough. In the video, she has several ways to get the across distance and around distance of the circle object. First, she put the object on the coordinate and run it. Second, she use the thread to get the comparation between the circumference of circle and the diameter of a circle. e. Actively involve students in the demonstration as appropriate, being careful about not asking them to do the demonstration for you. Itā€™s a good demonstration, If it demonstrated in front of the class, it can make the student involved actively. Students can follow what the teacherā€™s do. Student can measure the distance across and around the object to get the value of phi. f. When teaching a complicated skill, demonstrate each individual step of the skill, but also demonstrate all steps together. In the video, we see that she demonstrate all of steps by herself. But if weā€™re in a classroom, we just do it when we
  • 5. teaching a complicated skill, more than it, we have demonstrate the step together with the student. 3. Responding to Diversity When Planning Visual Supports An example for responding to diversity when planning visual supports: Differences Prism and Pyramids When we teach the students about prism and pyramids, so that the teacher not only uses handbook to teach the students but also use some media such as the 3D (Three-Dimensional) figure to represent the lesson or use power point which contains some 3D figures with animation to make the lesson more interesting for students. Because when they learn about three-dimensional figures it more effective when we use visual media, we can see that students more understand and pay more attention to our lesson compared by using imagination to imagine about the figure. When they see or they touch the figure, it will be remembered well and make the students understand about that material faster. And then, if the teachers use the visual media, they will be thriftier when using some words to teach. Because when they see, teacher only guide the students to get the concepts, not to tell the concept directly but the students find it then the teachers complete the concept that they have found. A notice for this, we use little words but itā€™s effective to make the students understand about the lesson. Example: 1. When we want to make student find the concept about prism by giving them many several example of prism, like cube, rectangular prism, hexagonal prism, etc. Maybe before we give them the clue, we can ask them form the pictures that we give what the same of that pictures and then guiding them to get the concept of prism.
  • 6. Concepts : In geometry, a prism is a polyhedron with a n-sided polygonal base and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases. After that, we can show the structure of one prism, such as rectangular prism. Then we can give some explanation of the characteristics of the prism
  • 7. 2. After they get the concept about what prism is, then we try to ask them to find again about what pyramid is. Concepts : A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle. It is a conic solid with polygonal base.
  • 8. After that, we can show the structure of a pyramid, such as hexagonal prism. Then we can give some explanation of the characteristics of the pyramid. 3. From the two steps above, actually the students have had the concept about what a prism is and what a pyramid is. They knew about the characteristics of prism and pyramid. The next step, make them find the differences between prism and pyramid. Example, we take the rectangular prism and the rectangular pyramid for comparison.
  • 9. 4. examples responding to diversity when giving directions in teaching one topic in mathematics Learning materials: Number of angles in a triangle. learning objectives: determine the angles in a triangle is 180o tools and materials: 1. paper 2. period 3. ruler 4. scissors 5. black marker 6. Colorful markers The steps are:
  • 10. 1. Make-up triangle arbitrary 2. Make an angle on each corner of the triangle (use the term to make it) 3. Paint or mark each corner of a triangle with different colors 4. Make a half-circle arc (magnitude obtained from the corners of the triangle piece) 5. Cut the corners of the triangle. 6. Arrange the pieces to fit the triangle corner arc image that has been created. Conclusion: got the angles in a triangle is 180o - Shorten and simplify directions. Teachers provide guidance that is short and simple to make-up triangle, but no explanation is given as to what kind of triangle that must be made by the student. - Give fewer directions at a time and have students repeat or paraphrase what are to do (check for understanding).
  • 11. Teachers give guidance to students to cut corners but not explained triangle to be cut to bow or not. The teacher then checks whether or not performed by the students. if students cut suit with a bow that has been made, then the student is doing the right steps, but if not, then the student is doing the wrong move. - Cue directions with numbers (for example, ā€œfirstā€ or ā€œsecondā€) and gestures (showing one finger, then two). Teachers say the first step, the second and subsequent followed by finger movements. - Emphasize key words with intonations in your voice and with gestures. Teachers when giving orders cut by giving emphasis and intonation practice cutting move. - Make the directions into a list of steps that students can check off as they complete each step. Teachers make the steps work in a lab module. So that students can check if they do have measures in accordance with the steps desired by the teacher. - Check for understanding by asking specific questions to prevent cultural misunderstandings. Some students will say they understand the teacherā€™s directions (even when they donā€™t) to be respectful. Avoid asking, ā€œDo you understand the directions?ā€ Instead, ask a question like, ā€œWhat is the first thing you should do?ā€ (Zirpoli 2005). After memebrikan direction, right or tidakkan teachers check what is done by the students. whether it is in accordance with the directives given by the teacher.