Get APOS Theory: A Framework for Research and Curriculum PDF

By Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, Maria Trigueros, Kirk Weller

ISBN-10: 1461479657

ISBN-13: 9781461479659

Even though APOS concept has been used greatly in different scholarly guides, within the layout of textbooks, and in instructing perform, there is not any unmarried references that comprises all of the suitable information regarding its elements, and gives counsel approximately its software. The aim of this publication is to offer the most components of APOS thought. it may be important for researchers who paintings with, or want to study extra approximately, this theoretical process, those people who are drawn to the best way which mathematical conceptions are built in response to this conception, arithmetic schooling researchers, graduate scholars in arithmetic schooling, and arithmetic teachers.

Show description

Read or Download APOS Theory: A Framework for Research and Curriculum Development in Mathematics Education PDF

Best mathematics books

What is Mathematics, Really? by Reuben Hersh PDF

Platonism is the main pervasive philosophy of arithmetic. certainly, it may be argued that an inarticulate, half-conscious Platonism is almost common between mathematicians. the fundamental proposal is that mathematical entities exist outdoors area and time, open air idea and topic, in an summary realm. within the extra eloquent phrases of Edward Everett, a exclusive nineteenth-century American pupil, "in natural arithmetic we think of absolute truths which existed within the divine brain prior to the morning stars sang jointly, and that allows you to survive there whilst the final in their radiant host shall have fallen from heaven.

New PDF release: Mathematik 1: Lehrbuch fuer Ingenieurwissenschaften

Dieses erfolgreiche einf? hrende Lehrbuch erscheint nun in der 10. Auflage. Es zeichnet sich durch eine exakte und anschauliche Darstellung aus. Der Lehrstoff ist klar gegliedert und intestine strukturiert. Auf mathematisch formale Beweise wird weitgehend verzichtet, die Herleitung wichtiger Zusammenh? nge wird jedoch dargestellt.

Get Wheels, Life, Ocred PDF

Gathers mathematical puzzles, difficulties, video games, and anecdotes approximately mathematical and clinical discoveries.

Extra resources for APOS Theory: A Framework for Research and Curriculum Development in Mathematics Education

Sample text

34 4 Genetic Decomposition Trigueros and Martı´nez-Planell (2010) followed this approach in their study of students’ learning of two-variable functions. The authors used observations of student work to develop a preliminary genetic decomposition of two-variable functions. They then conducted interviews with students who had completed the course and used the interview data to refine their preliminary analysis. The design of a genetic decomposition can also be based on the historical development of the concept.

Revision ! data analysis yields a genetic decomposition that reflects very closely the cognition of the concept for many individuals and that can be used in the design of instruction that positively affects student learning. There are several issues to be clarified. When referring to a student in the context of APOS Theory, the researcher is not considering a specific student. Rather, he or she is considering a “generic student,” that is, a representative of the class of students who are learning that concept.

As we have said, this means that some internal construction is made relating to the action. An interiorized action is a process. Interiorization permits one to be conscious of an action, to reflect on it and to combine it with other actions. (Dubinsky 1991, p. 2 Description of Mental Structures and Mechanisms 21 In the same spirit, Dubinsky et al. (2005a) give the following description of a Process and interpret it for the case of functions: As an individual repeats and reflects on an action, it may be interiorized into a mental process.

Download PDF sample

APOS Theory: A Framework for Research and Curriculum Development in Mathematics Education by Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange Roa Fuentes, Maria Trigueros, Kirk Weller


by Ronald
4.0

Rated 4.95 of 5 – based on 11 votes