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MATHEMATICS TEACHING PLANING

Critical Teaching Skills for Presenting
                 Information




                       GROUP 7
     1.     Rien Dioni Lestari (A1C010008)
     2.     Dewi Puspita Sari (A1C010017)
     3.     Dendrit Gunawan (A1C010023)
     4.     Sri Pirwanti (A1C010026)
     5.     Meta Tri Manyang Sari (A1C010033)


     Semester    : V (Five)
     Lecturer    : Dewi Rahimah, S.Pd., M.Ed


    MATHEMATIC EDUCATON STUDY PROGRAM
 DEPARTEMENT OF MATH AND SCIENCE EDUCATION
  FACULTY OF TEACHER TRAINING AND EDUCATION
             UNIVERSITY OF BENGKULU
                        2012
1. Give comments on the following video by connecting it to the
   responding      to    english   language       students    when    presenting
   information.


     Our opinion about this video :
  a. Communicate meanings of new terms and concepts by using
     gestures facial        expressions,     voice     changes,      pantomimes,
     demonstrations, rephrasing, visuals, props,             manipulatives, and
     othercues :
     We think that Speaker         using a high tone emphasis when told the
     keyword about prism and rectangular (example) he use the high tone
     when tell about prism and rectangle. He also juga do action like show
     the figure of prism to explain about it. He demonstrate with using
     props    clearly,   and   repeat      the   important   sentence   example
     congclusion of this experiments,            and he use the visual support
     object like proofs ( example rectangular pism and pyramids) and
     some picture in the white board. So that we think he can
     Communicate meanings of new terms and concepts well
  b. When you present, enunciate clearly, but don’t raise your voice.
     This explanation is very clear, because he describes it slow but sure ,
     and speaker use the different tone when said the key word like prism
     and rectangle.
  c. Repetition can help students acquire the rhythm, pitch, volume, and
     tone of the new language .
     From the video, we listen the explanation given by the good
     explanation , it can be seen from:

             rhythm: speaker use the rhythm good enough so listener can
              listen well




                                                                               1
pitch: Here, we hear the pitch of the speaker does not exist,
           em, with the other word , we think picth of speaker just flat,
           so that this explanation is less
           Volume: Sounds volume of speaker is not too high ot not too
           low so it make students easier to listen all explanation that
           given.

d. Don’t speak too quickly and use brief pauses at natural points
   to allow students to process what they are hearing.

   In this video, speaker speak calmly without haste so that listeners
   more easily hear what he talk and in here has presence of a brief
   pauses for to process the all word that he said. So this video is very
   easy to learn because we can accept every word that described.

e. It is important to write clearly and legibly. Print rather than
   use cursive until you are sure your English Language students
   can read cursive.
   In this material, of course, the speaker does not write his material on
   the board, but he gave visual support such as describing a prism and
   a rectangular prism on the white board to support his explanation.
   And, at the conclusion of the material, he did not only talk but also
   writes this congclusion on the white board. But unfortunately,
   speaker did not write any conclusions clearly in each experiment,
   because as we know there are some experiments were showed.
   Maybe speaker should write the conclusion of each experiments so
   that we can compare each experiments.




                                                                         2
f.   Avoid idioms (backseat driver, cute as a bug’s ear) and slang
       (hangout, deep pockets), as they can be confusing for English
       language students.
       In our opinion, in this video, speaker didn’t use the idiom or slang
       word. Because we think, he use the formal language and just said
       the important word
  g. Summarize the important points of the presentation frequently,
       always making sure to emphasize key vocabulary words .
       Speakers emphasize key words, such as when he said prism is a three-
       dimensional geometrical shapes identical to the lid base, he give the
       different intonation in the prism word and lid base.


2. Give comments on the following video by connecting it 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.
       In this video, we think it’s good explanation because she not only
       explain about phi, but she show value of phi with the relationship
       between circumference and diameter of circle and use the real
       object to show it. So that we have not a difficult thinking to imagine
       about value of phi.
   b. Use a “think-aloud” to explain what you are doing as you do it.
       Yeah, she used a think aloud, We can look from her explanation for
       example, when 04:25 , she corrected the incorrect answer about the
       last relationship point between circumference and diameter, and the
       corrected answer is (8.25 as circumference and 2.5 as diameter) .




                                                                            3
Why it’s include a thinking aloud?” because she explain and invite
   students to think about the relationship point of circumference and
   diameter, and when she gave the incorect anwer , she invite students
   to think and replace her answer.
c. Supplement the demonstration with visual supports.

   In this video, she use some visual support, example a graph in the
   whiteboard with the horizontal line as value of circumference of
   object and the vertical line as value of diameter of object, and she
   use some objects that have form like circle. And this visual support
   help students to understand about this material well.

d. Demonstrating the new skill or knowledge only once is generally not
   enough.

   We think in this video, she just not show about value of phi one
   times, but she find the several times   with different pairs of value
   of diameter and circumference with using a graph. She also show the
   value of phi with using string. So that, we can congclude easily that
   value of phi approaches 3.14.

e. Actively involve students in the demonstration as appropriate, being
   careful about not asking them to do the demonstration for you.
   In this video, she explain enough good because she include this point
   in her explanation (although just one times). We can look it for the
   last minute of this video, when she showed the value of phi using
   string, she gave the brief pauses, so that student can answer
   together to mention how many times string that arround the circle
   can across the circle (diameter)




                                                                       4
f. When teaching a complicated skill, demonstrate each individual step
      of the skill, but also demonstrate all steps together.
      In this video, she just explain by her self, and not invite student to
      take a part in this demonstrate. Actually, as we know if we become a
      teacher, we should invite student to take a part so that student know
      all steps in our explanation. So that the point f is not include in this
      video.


3. Give examples responding to diversity when planning visual supports
   in teaching one topic in mathematics.

   Topic: Understanding and mentions elements of a circle

   Teachers explained the circle by a image and material in the
   powerpoint slides. From that image, teacher explained the definition
   of circle.




                                                                             5
Teacher has asked students to bring objects or images that have a circle
form like circular coin, drawing wheel, tire image, images alarm clock,
cake donuts, rings, bottle caps, and so forth. Of objects and images
that brought students, teachers ask students to identify the elements of
the circle.

To equate an opinion on the elements of the circle. Teachers told to
bring an alarm clock, it is considered that the meeting point between
the minute hand and second hand as the central point of the circle.
Then the teacher showed elements of the ring of the alarm clock.

From the example above, we can see :

  Increase the number of visual supports used.
      o Teacher explains a lot of this material with supports used .
         namely:
      o Objects, such as: Coins, drawing wheel, tire image, images
         alarm clock, cake donuts, rings, bottle caps, and so forth.
      o Multimedia in the presentation, such as power point slides.
  Be sure that all students, Including those who are english language
  students, can understand wording on visuaal support (for example, a
  list of steps for using the reading comprehension strategy).
      o Students can understand the definition of circle from some
         objects that   explanation from teacher that using an alarm
         clock. From there we can know they are understood or not
         about this lesson through visual support used by their
         conclusion about this lesson
  Use visual prompts (for example, color-code) to highlight essential
  information.




                                                                       6
o In the power point slides about circle, teachers give the
            different collor on the important words, such as in this
            example :
         o A circle is a simple closed curve that is the set of points in
            the plane that are equidistant from a given point, the centre.
            The distance between any of the points and the centre is
            called the radius.Teacher also give the different volume of
            that important words
     Provide individual copies of the visual support (such as checklists of
     steps to follow for getting help) for students to have at their desks.
         o For example, teacher gives handout to each students from this
            material, so that students can read this material in their desk.
      Use pictures to supplement written words oa visual support. For
     example, include picture cues for behavior expectations written on a
     poster so that students can read and see what is expected.
         o For example, to explains the meaning of the circle, teacher
            use an images      in power point slide and to explains the
            elements of the circle , teacher uses alarm clock to be visual
            support used.


4. Give examples responding to diversity when giving directions in
  teaching one topic in mathematics.

Topic: the surface area of a prism
Teacher explains to students about how to find the surface area of the
prism with using the formula
The surface area of a prism = 2 * base area +sum of area of lateral faces
Then the teacher gives her students a task to find the surface area of
prism. To proving this formula,      teacher brought the prism props and




                                                                              7
makes a triangular prism nets so that students know exactly the form of
prism and what plane that can bulid a riangular prism. Some plane that can
build a triangular prism is 3 rectangle and 2 triangle, where is rectangle is
lateral faces of prism, and triangle is base of this prism.
Well, so `that students can know


                              = area of    area of   area of    area of    area of 
The surface area of a prism    2 area of     3 area of 
                               (2 base area ) (3 uprights side )



      From the outline of lesson we can know about responding to diversity
      when giving directions that are:

  a. Shorten and simplify directions.
      In this lesson, we can look thatt raacher gives the shorten and simply
      direction, until students understand abouut how to calculate the The
      surface area of a prism step by step.
  b. Give fewer directions at a time and have students repeat or
      paraphrase what are to do (check for understanding).
      After teacher give fewer direction, teacher can give question to
      repeat step by step to calculate the surface area of a prism, and we
      can look their understanding from their answer
  c. Cue directions with numbers (for example, “first” or “second”)
      and gestures (showing one finger, then two).
      To proving the formula of surface area of a prism, teacher explain
      that first we can look from that nets,




                                                                                         8
second we look what are planes that can build a triangular prism,
      third we calculate the area of each planes that can build a triangular
      prism , and finally we can get a congclusion about the surface area of
      prism. That is :
                           = area of    area of   area of    area of    area of 
The surface area of a prism 2 area of     3 area of 
                             (2 base area ) (3 uprights side )



   d. Emphasize key words with intonations in your voice and with
      gestures.
      from example, teacher want to tell that Some plane that can build a
      triangular prism is 3 rectangle and 2 triangle, where is rectangle is
      lateral faces of prism. So that teacher gives the different intonation
      in the rectangle and triangle words and can give the different gesture
      like appoint triangle and rectangle from the prism nets
   e. Make the directions into a list of steps that students can check off as
      they complete each step
      We can look in the example of point 3, teacher can gives a list of
      steps in the white board, and check did students know what must
      they know first, second, thirs, and last, and we can check that




                                                                                      9
students can complete each step from students task or our question
   about it to them.
f. Check for understanding by asking specific questions to prevent
   cultural misunderstandings.

   After students know about the formula, teacher give an question
   that is “ what the first step to find a area of prism?”, from this
   question example, we can know that the understanding of students
   from their answer.




                                                                   10

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Task 4 PPM - Group 7 - Presenting Information

  • 1. MATHEMATICS TEACHING PLANING Critical Teaching Skills for Presenting Information GROUP 7 1. Rien Dioni Lestari (A1C010008) 2. Dewi Puspita Sari (A1C010017) 3. Dendrit Gunawan (A1C010023) 4. Sri Pirwanti (A1C010026) 5. Meta Tri Manyang Sari (A1C010033) Semester : V (Five) Lecturer : Dewi Rahimah, S.Pd., M.Ed MATHEMATIC EDUCATON STUDY PROGRAM DEPARTEMENT OF MATH AND SCIENCE EDUCATION FACULTY OF TEACHER TRAINING AND EDUCATION UNIVERSITY OF BENGKULU 2012
  • 2. 1. Give comments on the following video by connecting it to the responding to english language students when presenting information. Our opinion about this video : a. Communicate meanings of new terms and concepts by using gestures facial expressions, voice changes, pantomimes, demonstrations, rephrasing, visuals, props, manipulatives, and othercues : We think that Speaker using a high tone emphasis when told the keyword about prism and rectangular (example) he use the high tone when tell about prism and rectangle. He also juga do action like show the figure of prism to explain about it. He demonstrate with using props clearly, and repeat the important sentence example congclusion of this experiments, and he use the visual support object like proofs ( example rectangular pism and pyramids) and some picture in the white board. So that we think he can Communicate meanings of new terms and concepts well b. When you present, enunciate clearly, but don’t raise your voice. This explanation is very clear, because he describes it slow but sure , and speaker use the different tone when said the key word like prism and rectangle. c. Repetition can help students acquire the rhythm, pitch, volume, and tone of the new language . From the video, we listen the explanation given by the good explanation , it can be seen from:  rhythm: speaker use the rhythm good enough so listener can listen well 1
  • 3. pitch: Here, we hear the pitch of the speaker does not exist, em, with the other word , we think picth of speaker just flat, so that this explanation is less Volume: Sounds volume of speaker is not too high ot not too low so it make students easier to listen all explanation that given. d. Don’t speak too quickly and use brief pauses at natural points to allow students to process what they are hearing. In this video, speaker speak calmly without haste so that listeners more easily hear what he talk and in here has presence of a brief pauses for to process the all word that he said. So this video is very easy to learn because we can accept every word that described. e. It is important to write clearly and legibly. Print rather than use cursive until you are sure your English Language students can read cursive. In this material, of course, the speaker does not write his material on the board, but he gave visual support such as describing a prism and a rectangular prism on the white board to support his explanation. And, at the conclusion of the material, he did not only talk but also writes this congclusion on the white board. But unfortunately, speaker did not write any conclusions clearly in each experiment, because as we know there are some experiments were showed. Maybe speaker should write the conclusion of each experiments so that we can compare each experiments. 2
  • 4. f. Avoid idioms (backseat driver, cute as a bug’s ear) and slang (hangout, deep pockets), as they can be confusing for English language students. In our opinion, in this video, speaker didn’t use the idiom or slang word. Because we think, he use the formal language and just said the important word g. Summarize the important points of the presentation frequently, always making sure to emphasize key vocabulary words . Speakers emphasize key words, such as when he said prism is a three- dimensional geometrical shapes identical to the lid base, he give the different intonation in the prism word and lid base. 2. Give comments on the following video by connecting it 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. In this video, we think it’s good explanation because she not only explain about phi, but she show value of phi with the relationship between circumference and diameter of circle and use the real object to show it. So that we have not a difficult thinking to imagine about value of phi. b. Use a “think-aloud” to explain what you are doing as you do it. Yeah, she used a think aloud, We can look from her explanation for example, when 04:25 , she corrected the incorrect answer about the last relationship point between circumference and diameter, and the corrected answer is (8.25 as circumference and 2.5 as diameter) . 3
  • 5. Why it’s include a thinking aloud?” because she explain and invite students to think about the relationship point of circumference and diameter, and when she gave the incorect anwer , she invite students to think and replace her answer. c. Supplement the demonstration with visual supports. In this video, she use some visual support, example a graph in the whiteboard with the horizontal line as value of circumference of object and the vertical line as value of diameter of object, and she use some objects that have form like circle. And this visual support help students to understand about this material well. d. Demonstrating the new skill or knowledge only once is generally not enough. We think in this video, she just not show about value of phi one times, but she find the several times with different pairs of value of diameter and circumference with using a graph. She also show the value of phi with using string. So that, we can congclude easily that value of phi approaches 3.14. e. Actively involve students in the demonstration as appropriate, being careful about not asking them to do the demonstration for you. In this video, she explain enough good because she include this point in her explanation (although just one times). We can look it for the last minute of this video, when she showed the value of phi using string, she gave the brief pauses, so that student can answer together to mention how many times string that arround the circle can across the circle (diameter) 4
  • 6. f. When teaching a complicated skill, demonstrate each individual step of the skill, but also demonstrate all steps together. In this video, she just explain by her self, and not invite student to take a part in this demonstrate. Actually, as we know if we become a teacher, we should invite student to take a part so that student know all steps in our explanation. So that the point f is not include in this video. 3. Give examples responding to diversity when planning visual supports in teaching one topic in mathematics. Topic: Understanding and mentions elements of a circle Teachers explained the circle by a image and material in the powerpoint slides. From that image, teacher explained the definition of circle. 5
  • 7. Teacher has asked students to bring objects or images that have a circle form like circular coin, drawing wheel, tire image, images alarm clock, cake donuts, rings, bottle caps, and so forth. Of objects and images that brought students, teachers ask students to identify the elements of the circle. To equate an opinion on the elements of the circle. Teachers told to bring an alarm clock, it is considered that the meeting point between the minute hand and second hand as the central point of the circle. Then the teacher showed elements of the ring of the alarm clock. From the example above, we can see : Increase the number of visual supports used. o Teacher explains a lot of this material with supports used . namely: o Objects, such as: Coins, drawing wheel, tire image, images alarm clock, cake donuts, rings, bottle caps, and so forth. o Multimedia in the presentation, such as power point slides. Be sure that all students, Including those who are english language students, can understand wording on visuaal support (for example, a list of steps for using the reading comprehension strategy). o Students can understand the definition of circle from some objects that explanation from teacher that using an alarm clock. From there we can know they are understood or not about this lesson through visual support used by their conclusion about this lesson Use visual prompts (for example, color-code) to highlight essential information. 6
  • 8. o In the power point slides about circle, teachers give the different collor on the important words, such as in this example : o A circle is a simple closed curve that is the set of points in the plane that are equidistant from a given point, the centre. The distance between any of the points and the centre is called the radius.Teacher also give the different volume of that important words Provide individual copies of the visual support (such as checklists of steps to follow for getting help) for students to have at their desks. o For example, teacher gives handout to each students from this material, so that students can read this material in their desk. Use pictures to supplement written words oa visual support. For example, include picture cues for behavior expectations written on a poster so that students can read and see what is expected. o For example, to explains the meaning of the circle, teacher use an images in power point slide and to explains the elements of the circle , teacher uses alarm clock to be visual support used. 4. Give examples responding to diversity when giving directions in teaching one topic in mathematics. Topic: the surface area of a prism Teacher explains to students about how to find the surface area of the prism with using the formula The surface area of a prism = 2 * base area +sum of area of lateral faces Then the teacher gives her students a task to find the surface area of prism. To proving this formula, teacher brought the prism props and 7
  • 9. makes a triangular prism nets so that students know exactly the form of prism and what plane that can bulid a riangular prism. Some plane that can build a triangular prism is 3 rectangle and 2 triangle, where is rectangle is lateral faces of prism, and triangle is base of this prism. Well, so `that students can know = area of area of area of  area of  area of  The surface area of a prism 2 area of 3 area of  (2 base area ) (3 uprights side ) From the outline of lesson we can know about responding to diversity when giving directions that are: a. Shorten and simplify directions. In this lesson, we can look thatt raacher gives the shorten and simply direction, until students understand abouut how to calculate the The surface area of a prism step by step. b. Give fewer directions at a time and have students repeat or paraphrase what are to do (check for understanding). After teacher give fewer direction, teacher can give question to repeat step by step to calculate the surface area of a prism, and we can look their understanding from their answer c. Cue directions with numbers (for example, “first” or “second”) and gestures (showing one finger, then two). To proving the formula of surface area of a prism, teacher explain that first we can look from that nets, 8
  • 10. second we look what are planes that can build a triangular prism, third we calculate the area of each planes that can build a triangular prism , and finally we can get a congclusion about the surface area of prism. That is : = area of area of area of  area of  area of  The surface area of a prism 2 area of 3 area of  (2 base area ) (3 uprights side ) d. Emphasize key words with intonations in your voice and with gestures. from example, teacher want to tell that Some plane that can build a triangular prism is 3 rectangle and 2 triangle, where is rectangle is lateral faces of prism. So that teacher gives the different intonation in the rectangle and triangle words and can give the different gesture like appoint triangle and rectangle from the prism nets e. Make the directions into a list of steps that students can check off as they complete each step We can look in the example of point 3, teacher can gives a list of steps in the white board, and check did students know what must they know first, second, thirs, and last, and we can check that 9
  • 11. students can complete each step from students task or our question about it to them. f. Check for understanding by asking specific questions to prevent cultural misunderstandings. After students know about the formula, teacher give an question that is “ what the first step to find a area of prism?”, from this question example, we can know that the understanding of students from their answer. 10