Education Commons^™

How Do They Know It Is A Parallelogram? Analysing Geometric Discourse At Van Hiele Level 3, Sasha Wang, Margaret Kinzel

Mathematics Faculty Publications and Presentations

In this article, we introduce Sfard's discursive framework and use it to investigate prospective teachers' geometric discourse in the context of quadrilaterals. In particular, we focus on describing and analysing two participants' use of mathematical words and substantiation routines related to parallelograms and their properties at van Hiele level 3 thinking. Our findings suggest that a single van Hiele level of thinking encompasses a range of complexity of reasoning and differences in discourse and thus a deeper investigation of students' mathematical thinking within assigned van Hiele levels is warranted.

Investigating Children's Intuitive And Analytical Thinking About Path Length As A Developmental Phenomenon, Cheryl Lynn Eames

Theses and Dissertations

Children's conceptions of length measurement has been the focus of research that has built on the work of Piaget and his colleagues to produce developmental accounts for the acquisition of conceptual and procedural knowledge. Prior research focused on children's developing conceptions of length measurement for straight or rectilinear paths; however, little is known about how these conceptions grow beyond the elementary grades. The present study increased the scope of this research beyond elementary grades to include middle and secondary level students, exploring the development of students' intuitive and analytical thinking for determining the length of a curved path across a …

Implementing Common Core State Standards For Mathematics Through Lesson Study, John Thomas Hall

Honors Program Projects

The Common Core State Standards for Mathematics (CCSSM) represent the beginning of a new era in American education. For the first time, a majority of states are sharing expectations for student knowledge in mathematics. While standards cannot change education, the means by which these standards are implemented contribute to the mathematical achievement of students. For instance, the CCSSM incorporate separate content and practice standards for students. Content standards are familiar to most educators, but the expectation of developing mathematical skills highlighted in the practice standards will require changes to lesson preparation and teaching.

In an effort to provide pre-service and …

El Uso Del Texto Escolar Para El Desarrollo De Competencias Matemáticas En El Componente Geométrico - Métrico En Grados 8° Y 9° De Tres Instituciones Distritales De La Ciudad De Bogotá, Lina Yovana Paipa Reyes, Jenny Carolina Pérez Rojas, Hermeht Pérez Caro

Maestría en Docencia

El texto escolar es una de las herramientas pedagógicas que a través del tiempo ha servido como apoyo en el proceso de enseñanza, especialmente en el área de matemáticas, debido a ello, toma relevancia identificar el uso que da el docente del texto escolar para desarrollar competencias matemáticas, comenzando por determinar los criterios de selección del texto escolar, las intenciones de uso por parte del docente y el establecimiento de relaciones entre las competencias destacadas en el texto escolar de matemáticas y las que el docente pretende desarrollar en la asignatura de geometría . De acuerdo con los objetivos propuestos, …