This is a preview. Log in to get access Show Abstract Based on Piaget's theory of logico-mathematical knowledge, 126 students in grades 2–5 were asked 6 questions about elapsed time. The main reason found for difficulty with elapsed time is children's inability to coordinate hierarchical units (hours and minutes). The educational implications drawn are that students must be encouraged to think about durations in daily living and to do their own thinking rather than being taught procedures for producing correct answers to elapsed-time questions. Journal Information An official journal of the National Council of Teachers of Mathematics (NCTM), JRME is the premier research journal in mathematics education and is devoted to the interests of teachers and researchers at all levels--preschool through college. Publisher Information The National Council of Teachers of Mathematics is a public voice of mathematics education, providing vision, leadership, and professional development to support teachers in ensuring mathematics learning of the highest quality for all students. With nearly 90,000 members and 250 Affiliates, NCTM is the world's largest organization dedicated to improving mathematics education in grades prekindergarten through grade 12. The Council's "Principles and Standards for School Mathematics" are guidelines for excellence in mathematics education and issue a call for all students to engage in more challenging mathematics. NCTM is dedicated to ongoing dialogue and constructive discussion with all stakeholders about what is best for our nation's students. Rights & Usage This item is part of a JSTOR Collection. Free CT 1: Growth and Development - 1 10 Questions 10 Marks 10 Mins Last updated on Sep 29, 2022 Rajasthan 3rd Grade Teacher Recruitment for Level 1 & Level 2 will be done through REET 2022 Scores. 48,000 vacancies have been released for this recruitment. Earlier, the REET 2022 Certificate Notice is out, for candidates on 6th December 2022! Candidates can download the certification through the official certificate link. REET 2022 Written Exam Result was out on 29th September 2022! The final answer key was also out with the result. The exam was conducted on the 23rd and 24th of July 2022. The candidates must go through the REET Result 2022 to get the direct link and detailed information on how to check the result. The candidates who will be finally selected for 3rd Grade Teachers are expected to receive Rs. 23,700 as salary. Then, the candidates will have to serve a probation period which will last for 2 years. Also, note during probation, the teachers will receive only the basic salary. 4.4.2 Logical-Mathematical Knowledge.This knowledge is constructed from the child’s action on objects. For example, a number relatedconcepts are logical mathematical types of knowledge.The number is an invention of each childfor example what is two. Logical mathematical knowledge is invented.As children manipulateobjects or materials they construct relationships about physical materials. For example, heavymaterials move down slope so fast, light ones move slowly, rough materials more slowly whilesmooth ones move fast. Thus, physical knowledge is discovered while logical mathematicalknowledge is invented.4.4.3 Socio – Arbitrary Knowledge35 We have textbook solutions for you! The document you are viewing contains questions related to this textbook. Mathematical Practices, Mathematics for Teachers: Activities, Models, and Real-Life Examples Larson Expert Verified It is knowledge that has been agreed upon through consensus.This is knowledge made by peoplethrough consensus.This is knowledge made by people and it’s only learnt from people.Forexample, days of the week (Monday, Tuesday) January, Joseph, and Elephant. It is imperative that ateacher knows what type of knowledge he/she wants the children to learn so that he/she canfacilitate it.4.5 Learning Activities4.6 Summary4.7 Suggestions for Further Reading36Give your definition of knowledgeDescribe the history of knowledgeExplain the three types of knowledge according to PiagetIn this lecture we have learned about knowledge. We have also learned about the historyof knowledge and the three types of knowledge according to Piaget. These are physicalknowledge, logico -mathematical and socio-arbitrary knowledge.Jean Piaget, J. (1972). Psychology & Epistemology. Towards a theory of knowledge.Harmondsworth.Dewey, J. (1958). Philosophy of Education. Littlefield. Adams & com, Iowa LECTURE FIVETHEORIES OF CURRICULUM DEVELOPMENT5.1IntroductionIn this lecture we are going to learn about theories of curriculum development. We shall start bylearning about the meaning of a theory and its functions and then look at different types of theories.This lecture covers:1.Lecture objectives2.Meaning of a theory3.Functions of theories4.Philosophical and theoretical views of ECE curriculum5.Empiricism (behaviourists) theory37 6.Nativism (maturationists) theory7.Interactionism (progressives) theory8.Jerome Bruner’s theory9.Learning activities10.Summary11.Further Reading5.2 Lecture Objectives5.3 Meaning of a Theory?It is a system of beliefs which guide or control actions.A set of interrelated concepts, definitions,and statements that presents a systematic view of a phenomena by specifying relations amongcomponents with the purposes of explaining phenomena.5.4 Functions of Theories?To guide study and aid in making predictions?Provides a logically unified framework,Provides generalityProvides an empirical (experimentally observed) basis.Theories describe, predict, and explain phenomena, and they guide the practice of those whouse them.Theory furnishes those working with a particular realm of knowledge with a way of viewingthe world and how it works.Theory provides a foundation for action. It shapes individual thinking along certain lines.We use theories in our daily lives to give direction.38By the end of this lecture and after doing all activities, and reading the selected furtherreading, you should be able to:Give the meaning of a theory.Explain the functions of theories.Describe different philosophical and theoretical views of ECE curriculum.Describe Jerome Bruner’s theory They aid in making decisions, i.e., family, finance, etc.Theories guide thought.They provide a basis for reasoned inquiry in practice.5.5 Philosophical and Theoretical Views of ECE CurriculumA closer look at people working with young children, reveal various contrasting viewpoints abouthow children learn and develop.People’s assumptions about children are crucial in influencingtheir practice. It is not possible for some of us to fit into some programmes for ECE in Kenyabecause their philosophy or beliefs are not inline with our beliefs about ECE. Some programme aretoo academic, too beuricratic or too formal. In recent years (especially in the era of mushroom ofpreschools in Kenya) “experts” outside the field of ECE have exerted great influence on ECEteachers and taken control of curriculum content and even methods of teaching.For example, a What is logico mathematical?Logico-mathematical knowledge: This is the creation of relationships. The brain builds neural connections which connect pieces of knowledge to one another to form new knowledge. The tricky part to understand here is that relationships don't exist in the external world. They often appear to, but this is an illusion.
Who stated mathematics should be taken as a subject to enhance logical knowledge among children?According to Locke-“Mathematics is a way to settle in the mind of children a habit of reasoning. Mathematics has certain unique features which one could hardly find in other disciplines. Mathematics is an exact science. Mathematical knowledge is always clear, logical, and systematic and that may be understood easily.
What is physical knowledge in mathematics?Physical knowledge is knowledge of objects in the external world. The knowledge that a ball bounces when it is dropped on the floor is an example of physical knowledge. The ultimate source of physical knowledge is objects in the external world. Another example is the fact that a rattle makes a noise when it is shaken.
What is an example of physical knowledge?Physical knowledge is knowledge of objects in the external world. Knowing that the tower might fall in Jenga is an example of physical knowledge. Knowing that marbles roll and balls bounce is also physical knowledge. Another example is the knowledge that a glass is likely to break if it is dropped on the floor.
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Which of the following is the best definition of logico-mathematical knowledge?
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