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Teaching Pedagogy - ELED 107, Study notes of Mathematics

Mathematics 2025 Bachelor of Elementary Education

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2024/2025

Uploaded on 04/27/2025

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Lesson Title
Unit IV- Instructional Strategies in Teaching Mathematics in the
Intermediate Grades
Teaching by Asking
Prepared by Roselia A. Borromeo
Objective
Formulate purposeful questions that encourage students to
participate in classroom discussions.
Introduction
In mathematics class, effective questioning is essential. Students
will get bored if his/her teacher merely states facts. An effective
teacher does just tell the definitions and theorems, but rather
he/she ask meaningful questions that lead learners to the correct
ideas. Also, the teacher gets to identify the students who are
having a hard time with the lesson and those with more advanced
skills through questioning. It is trough questioning that a teacher
gets to know the misunderstandings of the learners. If a teacher is
knowledgeable about the misunderstanding of the learners, then
the teacher will have the greatest understanding of his/her
learners.
It is, therefore, necessary that teachers deliberately frame
questions that will keep the class discussion moving. The goal of
this strategy is to keep the learners’ voices at the forefront of every
classroom session. The challenge for you to know is to think of
questions that you could ask that would get your students engaged.
Think
Discussion vs Lecture
In a discussion-based strategy, the teacher’s role is to engage the
learners in a question-oriented dialogue. The teacher spends a
significant amount of time asking scaffolding questions to help the
students understand an idea deeply. The interaction in this method
leans on both the teachers’ and the students’ equal participation.
This type of strategy is different from that of a lecture. In a lecture,
the teacher is the chief source of information.
Art of Questioning
Not all questions are created equal. Some questions can be
answered by a simple yes or no. Some questions would require the
students to think more meaningfully. Asking the right questions will
help you understand what your learners know, do not know, and
need to know. Asking questions is an art. As with most art, no
specific formula will work in all situations all the time. This lesson
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Lesson Title Unit IV- Instructional Strategies in Teaching Mathematics in the Intermediate Grades Teaching by Asking Prepared by Roselia A. Borromeo Objective Formulate purposeful questions that encourage students to participate in classroom discussions. Introduction In mathematics class, effective questioning is essential. Students will get bored if his/her teacher merely states facts. An effective teacher does just tell the definitions and theorems, but rather he/she ask meaningful questions that lead learners to the correct ideas. Also, the teacher gets to identify the students who are having a hard time with the lesson and those with more advanced skills through questioning. It is trough questioning that a teacher gets to know the misunderstandings of the learners. If a teacher is knowledgeable about the misunderstanding of the learners, then the teacher will have the greatest understanding of his/her learners. It is, therefore, necessary that teachers deliberately frame questions that will keep the class discussion moving. The goal of this strategy is to keep the learners’ voices at the forefront of every classroom session. The challenge for you to know is to think of questions that you could ask that would get your students engaged. Think Discussion vs Lecture In a discussion-based strategy, the teacher’s role is to engage the learners in a question-oriented dialogue. The teacher spends a significant amount of time asking scaffolding questions to help the students understand an idea deeply. The interaction in this method leans on both the teachers’ and the students’ equal participation. This type of strategy is different from that of a lecture. In a lecture, the teacher is the chief source of information. Art of Questioning Not all questions are created equal. Some questions can be answered by a simple yes or no. Some questions would require the students to think more meaningfully. Asking the right questions will help you understand what your learners know, do not know, and need to know. Asking questions is an art. As with most art, no specific formula will work in all situations all the time. This lesson

will enumerate general ideas for your careful consideration when framing essential questions.  Avoid “one-word-response” questions. Refrain from asking questions that only require a yes or no answer. In general, questions that would require one-word answers do not provide much information to check your learners’ thought processes. This type of questioning may not stretch the mental muscles of your learners. Questions are posed to help the students articulate themselves, clarify concepts, challenge known assumptions, examine reasons, and make significant connections to mathematical concepts.  Foster a climate conducive to learning and questioning. Make sure that your learners feel comfortable to express his/her ideas and/or ask questions any time. Some students are reluctant to speak up because they are afraid of what the teacher or classmates might think if they give an incorrect response. Listen attentively to what your learners have to say. If your learners feel that you are listening to their ideas, then a good working relationship with them will develop. Do not focus on hearing “correct response” but rather focus on listening to the message that the learners are trying to send across. Avoid directing a challenging question to the students if your goal is to discipline him/her for not behaving well in class. Challenging questions are posed to stimulate critical thinking. Create environment where the learners feel heard and recognized.  My Question, My Answer is a no-no! Do not answer your own questions. If you are not able to elicit responses from your students, try rephrasing your question. Do not rush the learners to give responses instantly. Give them some time to ponder and hypothesize deeply about ideas. You might also give some leading questions to help them level up their conceptual understanding. If your student does not answer correctly, you should continue to listen and ask clarificatory questions. Thinking should be respected and valued even if the response contains many misconceptions.

  1. You want your students to listen and respond to the answers of their classmates.
    • What do you think about your classmate’s answer?
    • How would you restate your classmate’s reasoning?
    • Did anyone get the same result but with a different solution method?
    • Why is your classmate’s assumption correct/incorrect?
    • Would you like to comment any of the previous answers?
  2. You want to lead your students to the right conjecture, definition, or generalization.
    • Does this formula always work? Why?
    • How do perimeter and area differ?
    • How does the radius of a circle relate to the diameter of the circle?
    • Will this solution method work if some conditions about the problem are changed?
    • Do you notice nay pattern? What can you conjecture about this?
    • What mathematical law/s support/s this statement?
    • How are fractions related to decimals?
    • Can you give examples and non- examples of integers? Assess The following activity will practice your question skills. Supply the following with an appropriate questioning technique/s to address the indicated classroom scenario. Scenario Questioning Techniques
  3. The teacher gave examples and non- examples of polygons. When students were asked to give a

definition, they were unresponsive.

  1. Only the bright students are answering the question. The challenged ones do not raise their hands.
  2. When a student was asked to answer a question, he/she responded with an angry stare.
  3. A student answered the question in a manner that is not comprehensible to the other students. Challenge The following questions will challenge your understanding of the teaching-by-asking strategy.
  4. If the class is too big, it is difficult for everyone in the class to participate. What accommodations are you willing to do to encourage all your students to participate in classroom discussion?




  1. What strategies would you try if you suspect that the students who do not understand the lesson are hesitant to ask questions?