Unit 1: Mathematics Education PDF

Unit I: Conceptual Framework of Mathematics Education and Underlying Principles and Strategies Directions: Choose the letter of the correct answer. Write your answers on your paper. 1. Which of the following BEST describes the primary goals of mathematics education in the K-12 curriculu...

Unit I: Conceptual Framework of Mathematics Education and Underlying Principles and Strategies Directions: Choose the letter of the correct answer. Write your answers on your paper. 1. Which of the following BEST describes the primary goals of mathematics education in the K-12 curriculum? a. To develop students' technical skills and calculating abilities. b. To prepare students for careers in STEM fields. c. To foster students' appreciation for the beauty and elegance of mathematics. d. To equip students with the mathematical knowledge and skills necessary for informed decision-making in their personal and professional lives. 2. Which of the following is NOT a benefit of incorporating real-world applications into mathematics instruction? a. It helps students see the relevance of mathematics to their lives. b. It provides students with opportunities to develop critical thinking and problem-solving skills. c. It makes mathematics more engaging and motivating for students. d. It reduces the need for students to develop conceptual understanding. 3. The twin goals of mathematics education are important because they: a. Ensure that all students achieve the same level of mathematical proficiency. b. Help students develop the skills and knowledge they need to succeed in mathematics and in life. c. Guarantee that students will pursue careers in STEM fields. d. Eliminate the need for students to engage in higher-order thinking skills. 4. Which of the following is the MOST important reason for incorporating mathematical investigations into the K-12 curriculum? a. To prepare students for standardized tests. b. To develop students' critical thinking, problem-solving, and reasoning skills. c. To ensure that all students learn the same mathematical concepts at the same pace. d. To provide teachers with a structured way to assess student understanding. 5. Which learning theory emphasizes the importance of active engagement and constructing knowledge through hands-on experiences, aligning with the constructivist approach in mathematics education? a. Constructivism b. Behaviorism c. Cognitivism d. Social Learning Theory 6. What is the primary goal of the Matatag curriculum regarding student confidence? A) To develop confidence in public speaking B) To foster confidence in using mathematics effectively C) To create confidence in artistic skills D) To enhance confidence in physical activities 7. What is the key educational philosophy of the Matatag curriculum? A) Emphasis on holistic development B) Focus on numeracy as a foundational skill C) Prioritization of arts education D) Strict adherence to traditional methods 8. How does the K to 12 curriculum differ in its approach to content areas compared to the Matatag curriculum? A) It eliminates certain topics. B) It emphasizes a more integrated approach to learning. C) It focuses solely on theoretical knowledge. D) It uses traditional lecture methods exclusively. 9. What are the three main content domains of the Matatag curriculum? A) Science, Technology, Engineering B) Number and Algebra, Measurement and Geometry, Data and Probability C) History, Geography, Civics D) Language Arts, Physical Education, Arts 10. What is the goal of the Revised Mathematics Curriculum? A. Aim to develop among learners’ proficiency in solving mathematical problems critically, grounded in strong conceptual knowledge, strategic use of mathematical skills and processes, and desirable values and disposition in mathematics, thus assisting them to become productive and successful 21st-century citizens. B. Guides teachers in their preparation of mathematically rich lessons and helps them in working towards the main curriculum goal. C. Aim to ensure that learners accurately understand and apply concepts, operations, procedures, and relationships in solving routine and non-routine problems related to their day-to-day lives. D. Aim to ensure that standards and competencies are logically sequenced within the mathematics curriculum and across learning areas. 11. This is concerned with the methods used to deliver a curriculum. The quality of mathematics learning depends on the quality of the various learning experiences employed to engage and instruct learners. A. Curriculum B. Pedagogy C. Assessment D. Learning 12. This serves as the foundational blueprint for education, embodying a structured plan that outlines what, why, and how learners should learn intentionally and systematically. A. Pedagogy B. Learning C. Assessment D. Curriculum 13. What are the three essential pillars of the Matatag Curriculum? A. Curriculum, Teaching, Assessment B. Curriculum, Pedagogy, Assessment C. Assessment, Learning, Teaching D. Learning, Pedagogy, Curriculum 14. The following are the critical components of the Matatag Curriculum, which is not. A. Make the curriculum relevant to produce job-ready, active, and responsible citizens. B. Take steps to accelerate the delivery of basic education and services and provision of facilities. C. Take good care of teachers by promoting teacher well-being, inclusiveness learning, and a positive learning environment. D. Give support for teachers to teach better. 15. According to Scriven and Paul (1987), this is the intellectually disciplined process of actively and skillfully conceptualizing, applying, analyzing, synthesizing, and evaluating information gathered from, or generated by, observation, experience, reflection, reasoning, or communication, as a guide to belief and action. a. Critical Thinking b. Problem-Solving c. Collaborative Learning d. Higher Order Thinking Skills 16. In this feature of problem solving, the students come up with some strategies for solving the problem such as making a list, drawing a picture, eliminating possibilities, using a formula, guessing and checking, and solving a simpler, related problem. a. Understand the Problem b. Make a plan c. Execute the plan d. Look back and reflect 17. The two goals of mathematics education are to be achieved with the following, except? a. appropriate tools b. a well-defined set of high-level skills and processes c. organized and rigorous curriculum content d. undesirable values and attitudes 18. According to Polya (1945 & 1962), what is the process of finding a way around a difficulty, around an obstacle, and finding solution to a problem that is unknown? a. Critical Thinking b. Higher order thinking skills c. Problem-solving d. Collaborative Learning 19. Which is wrong about constructivism in mathematics teaching? A. It is based on the idea that people actively construct or make their own knowledge and that reality is determined by your experiences as a learner. B. It is based on the idea that all behaviors are acquired through conditioning, which is a process of reinforcement and punishment. C. It is an important learning theory that educators use to help their students learn. D. The learners use their previous knowledge as a foundation and build on it with new things that they learn. 20. There are three schools of constructivist teaching—cognitive constructivism, social constructivism, and radical constructivism. Despite the differences in these schools of thought, five core principles underlie them all. Which among the choices does not belong to these five core principles? A. Knowledge is constructed. B. Active Learning C. Social Learning D. Reality and the eternal 21. He is the major theorist among the social constructivists? A. Vygotsky B. Bruner C. Piaget D. Dewey 22. There are different ways to teach understanding in the mathematics classroom. Which is not? A. Have students communicate their reasoning. B. Introduce topics using multiple representations. C. Solve the problems using only one way. D. Show the application. 23. Which is NOT an example of a constructivism strategy? a. Reciprocal Teaching/Learning b. Inquiry-based learning c. Written discussion d. Pre-testing 24. It's a constructivism strategy that encourages students to assist each other in a small group to achieve a common goal. a. Inquiry-based learning b. Mind mapping c. Peer tutoring d. Cooperative learning 25. What do you call a constructivism strategy in which students learn about a subject by working in groups to solve an open-ended problem? a. Cooperative learning b. Problem-based learning c. Reciprocal Teaching/Learning d. Mind mapping 26. A graphic organizer that tracks what students know, what students want to know, and what students has learned. a. KWLH chart b. Graphic table c. Mind mapping d. Checklist 27. The emphasis of Dale’s Cone of Experience is? a.) We learn best by doing, followed by observing, then listening, reading, and finally visualizing. b.) We learn through experience and forget everything right after the activity. c.) We learn by doing things we only like to do. d.) We only learn best through reading and writing. 28. There are three modes or classification in Dale’s Cone of experience. What are those? a.) Inactive, abstract, and concrete b.) Enactive, iconic, and significant c.) Inactive, iconic, and symbolic experience d.) Enactive, iconic, and symbolic experience 29. Which of the following is one of the misconceptions of Dale’s Cone of Experience? a.) Dale’s Cone of Experience showcases how we can use a variety of materials and mediums to maximize learner experiences. b.) Edgar Dale's Cone of Experience is a learning model that suggests that people learn best by doing, followed by observing, then listening, reading, and finally visualizing. c.) Dale intended to produce an intuitive model of the concreteness of various kinds of audiovisual media. d.) The shape has something to do with deciding that one kind of experience is better than another. 30. Which of the following is TRUE about The Levels of the Cone of Experience? a.) Motion Pictures are not part of it. b.) Dramatized experiences are recreated situations where learners can directly participate, such as role-plays that are based on real-life happenings. c.) Demonstrations are written explanations of how something works. d.) Visual symbols simply refer to photographs and audio recordings like podcasts. Answer key: 1. D 2. D 3. B 4. B 5. A 6. B 7. B 8. B 9. B 10. A 11. B 12. D 13. A 14. C 15. A 16. B 17. D 18. C 19. B 20. D 21. A 22. C 23. C 24. D 25. B 26. A 27. A 28. D 29. D 30. B