Probability signifies a mainstream strand in mathematics curricula. Nonetheless, many curricular documents prepared for teachers might not offer enough support. In such a situation, a further reflection on teachers' professional knowledge for teaching probability is demanded; especially, from the perspective of probabilistic reasoning (PoPR) that…

Deciphering teachers' paths to their disciplinary professional identities can make important elements of their tacit knowledge explicit and available to their students.

Pedagogical content knowledge (PCK) was first introduced by Shulman in the 80s. It is defined as the integration or amalgamation of pedagogy and content which basically covers the "what" and "how" of teaching. PCK was considered as the missing paradigm in the study of teaching. This integration of knowledge was long searched by…

This paper considers infinity as an element of professional knowledge. We assume that teachers need a wider knowledge of the topic than that they possess as mathematics students. Using three models of professional knowledge, athematics Teacher's Specialised Knowledge (MTSK), Mathematical Knowledge for Teaching (MKT), and Knowledge Quartet (KQ), we…

The purpose of this article is to sketch a conceptualization of a framework for Advanced Placement (AP) Statistics Teaching Knowledge. Recent research continues to problematize the lack of knowledge and preparation among secondary level statistics teachers. The College Board's AP Statistics course continues to grow and gain popularity, but is a…

The role of teacher education is to initiate purposeful conversation regarding specific content, to provide the scaffold for which preservice teachers can begin to understand the subject matter for the purpose of teaching, and to acknowledge gaps in their conceptual knowledge (Grossman and Shoenfeld with Lee 2005). Teacher candidates may enter…

To be able to support meaningful mathematical experiences, preservice elementary school teachers (PSTs) must learn mathematics in deep and meaningful ways (Ma 1999). They need to experience investigating and making sense of the mathematics they will be called on to teach. To expand their own--often limited--views of what it means to teach and…

New Zealand's early childhood curriculum, "Te Whariki", has two learning outcomes, dispositions and working theories. While a sociocultural perspective of dispositions has received significant attention in research and teaching, "working theories" as a concept has remained somewhat nebulous. This paper describes ways teachers…

Effective professional development engages, rather than bypasses, teacher thinking. This article describes strategies to heighten teachers' awareness of the difference between procedural knowledge and conceptual understanding. (Contains 6 figures.)

Teacher identity has been defined in different ways through different methodologies. In this paper, the author uses autobiographical information, based on his life as an urban teacher and teacher educator, to depict his journey, insights and experiences. In doing so, he synthesizes the personal, pedagogical, and political aspects of his identity…

When asking about animals, it is hard to find a person who doesn't recall a beloved pet or share that they've always loved dolphins, snakes, or ladybugs. A study of animals in an early childhood classroom, then, would seem an easy entry into science explorations with children. The article includes reflections on teaching to address the gaps…

This article discusses the algorithm for multiplication that is referred to as lattice multiplication. Evidence of how the author's preservice students' conceptual understanding of the algorithm grew through the semester is given. In addition, the author extends the conceptualization of the algorithm from the multiplication of whole numbers to the…

I propose a theory of conceptual development in which concept possession consists in seeing the world aright. The capacity to see things aright is primitive; it is not explained in terms of grasp of a theory or in terms of assimilation of socially determined norms of word use. The educational task in promoting conceptual development is to train…

Reports on an effort to improve articulation between science and education at Temple University. Describes the implementation of the cooperative controversy strategy into elementary science methods courses. Contains 26 references. (DDR)

This is the first in a series of articles addressing conceptions of teacher learning, and the implications of these conceptions for improving the practice of teaching. This article provides descriptions of three perspectives on teacher learning: knowledge-for-practice, knowledge-in-practice, and knowledge-of practice (Cochran-Smith & Lytle, 1999).…