Cerebral underpinning of advanced mathematical activity

2021 ◽  
pp. 71-92
Author(s):  
Marie Amalric
Keyword(s):  
Mathematical Activity

The Establishment of the Mathematical Bookshelf of the Medieval Hebrew Scholar: Translations and Translators

1997 ◽  
Vol 10 (3) ◽  
pp. 431-451 ◽  
Author(s):  
Tony LÉvy
Keyword(s):  
Fourteenth Century ◽  
Thirteenth Century ◽  
Major Part ◽  
Western Mediterranean ◽  
Mathematical Activity ◽  
Jewish Communities ◽  
Original Works ◽  
Wide Readership ◽  
Medieval Hebrew

The ArgumentThe major part of the mathematical “classics” in Hebrew were translated from Arabic between the second third of the thirteenth century and the first third of the fourteenth century, within the northern littoral of the western Mediterranean. This movement occurred after the original works by Abraham bar Hiyya and Abraham ibn Ezra became available to a wide readership. The translations were intended for a restricted audience — the scholarly readership involved in and dealing with the theoretical sciences. In some cases the translators themselves were professional scientists (e.g., Jacob ben Makhir); in other cases they were, so to speak, professional translators, dealing as well with philosophy, medicine, and other works in Arabic.In aketshing this portrait of the beginning of Herbrew scholarly mathematics, my aim has been to contribute to a better understanding of mathematical activity as such among Jewish communities during this period.

Multiplication by 10 base-5: Making Sense of Place Value Structure Through an Alternate Base

2015 ◽  
Vol 3 (2) ◽  
pp. 83-98
Author(s):  
Jodi Fasteen ◽  
Kathleen Melhuish ◽  
Eva Thanheiser
Keyword(s):  
Preservice Teachers ◽  
Conceptual Understanding ◽  
Sense Of Place ◽  
Number System ◽  
Place Value ◽  
Mathematical Activity ◽  
Making Sense ◽  
Procedural Fluency ◽  
Whole Number

Prior research has shown that preservice teachers (PSTs) are able to demonstrate procedural fluency with whole number rules and operations, but struggle to explain why these procedures work. Alternate bases provide a context for building conceptual understanding for overly routine rules. In this study, we analyze how PSTs are able to make sense of multiplication by 10five in base five. PSTs' mathematical activity shifted from a procedurally based concatenated digits approach to an explanation based on the structure of the place value number system.

scholarly journals Análisis confirmatorio de la estructura factorial de la ansiedad hacia las matemáticas

2019 ◽  
Vol 38 (1) ◽  
pp. 221-237 ◽  
Author(s):  
Vicente López-Chao ◽  
Dorinda Mato-Vázquez ◽  
Rocío Chao-Fernández
Keyword(s):  
Regression Analysis ◽  
Mathematics Anxiety ◽  
Mathematical Knowledge ◽  
Teaching And Learning ◽  
Linear Regression Analysis ◽  
Multiple Linear Regression Analysis ◽  
Structural Equations ◽  
Predictor Variables ◽  
Mathematical Activity ◽  
Factorial Structure

Esta investigación replantea la estructura factorial de la ansiedad hacia las matemáticas propuesta por Autor (2006), a través del estudio de una muestra de 1220 estudiantes de Educación Secundaria Obligatoria. El modelo de ecuaciones estructurales sugiere un modelo basado en cuatro escalas: "Ansiedad hacia la demostración del conocimiento matemático", "Preocupación por la presencia inevitable de las matemáticas", "Ansiedad hacia la acción matemática" y "Ansiedad hacia la actividad matemática en el entorno No formal". Posteriormente, se ha analizado mediante análisis de regresión lineal múltiple (paso a paso), con el objetivo de predecir el rendimiento académico en matemáticas medido a través de la calificación del curso anterior. Los resultados muestran un mayor porcentaje de predicción en el curso más alto, lo que confirma la importancia de la ansiedad como variable predictora en el rendimiento y, por lo tanto, su influencia determinante en el proceso de enseñanza y aprendizaje, así como los resultados académicos adquiridos. This research rethinks the factorial structure of the anxiety towards mathematics proposed by Autor (2006), through the study of a sample of 1220 students of Compulsory Secondary Education. The model of structural equations suggests a model based on four scales: "Anxiety towards the demonstration of mathematical knowledge", "Preoccupation with the inevitable presence of mathematics", "Anxiety towards mathematical action" and "Anxiety towards mathematical activity in environment Not formal". Subsequently, it has been analyzed by multiple linear regression analysis (step by step), with the aim of predicting the academic performance in mathematics measured through the qualification of the previous Mathematics course grade. The results show a higher prediction percentage in the highest course, confirming the importance of anxiety as predictor variables on the performance and therefore, its determining influence on the teaching and learning process, as well as the academic results acquired.

scholarly journals Pre-university informal engagement with mathematical activities and the decision to study mathematics at university

2020 ◽  
Vol 18 (3) ◽  
pp. 10-22
Author(s):  
Katie Steckles ◽  
Peter Rowlett ◽  
Angharad Ugonna
Keyword(s):  
Social Media ◽  
Career Choice ◽  
Small Sample ◽  
First Year ◽  
Mathematical Activity ◽  
Online Videos ◽  
High Level ◽  
Watching Tv ◽  
Mathematical Activities

A survey was created to investigate the experiences of mathematics undergraduates with informal mathematical activity prior to starting university, and links these with the decision to study mathematics. A questionnaire was completed by a small sample of first-year undergraduates at two UK universities. Generally, incoming undergraduates are shown to have a high level of enjoyment of mathematics and engagement with informal mathematical activity. Popular activities included mathematical puzzles and games, and online videos about maths. Students were often engaged with family or via social media, playing computer, tablet or phone games, watching TV game shows with mathematical aspects and participating in organised competitions. Only around half engaged via talks or workshops organised through school and watching more structured documentaries or videos of lectures. Few participated in organised clubs. It seems there was greater engagement with ‘fun’ aspects of mathematics than with activities which demonstrate mathematics linked to career choice. The link to goals of outreach and similar initiatives is discussed, with further research indicated.

scholarly journals Pre–service and In-service primary teachers’ generic and subject-specific skills On Geometric understanding of symmetry: A case study

2021 ◽  
Author(s):  
Shiva Mafakheri
Keyword(s):  
Symmetry Axis ◽  
Primary Teachers ◽  
Primary Teacher ◽  
Elementary Level ◽  
Mathematical Activity ◽  
Math Teachers ◽  
Teacher Needs ◽  
Service Training ◽  
Prospective Primary Teachers

Abstract According to the curricula all over the world symmetry plays an important role in the teaching geometry at primary levels. Geometry is one of topics that have the most problematic content knowledge for the prospective primary teachers. This paper studies the understanding of the symmetry of shapes among pre-service and in-service teachers to find out their visual perception of the geometric shapes symmetry and the symmetry axis. The aim is to create a symmetrical pattern with symmetry axis of the shapes. Evidence that only content-oriented professional development coursework taken by primary school math teachers appears effective, suggests that relatively more resources ought to be put into content focused training for teachers and that changes are warranted at the elementary level and in pedagogical in-service training generally. The primary teacher needs to be able to modify some proposed problems in order to get a richer mathematical activity, being aware of their mathematical benefits. It should be part of growing the capacity of analyzing didactically the mathematics activity.

Symbolizing as a Constructive Activity in a Computer Microworld

1996 ◽  
Vol 14 (2) ◽  
pp. 113-138 ◽  
Author(s):  
Leslie P. Steffe ◽  
John Olive
Keyword(s):  
Mathematical Activity ◽  
Constructivist Teaching ◽  
Guiding Principle ◽  
Computer Microworld ◽  
Mathematical Symbols ◽  
Teaching Episode ◽  
Numeral Systems ◽  
Mental Operations

In the design of computer microworlds as media for children's mathematical action, our basic and guiding principle was to create possible actions children could use to enact their mental operations. These possible actions open pathways for children's mathematical activity that coemerge in the activity. We illustrate this coemergence through a constructivist teaching episode with two children working with the computer microworld TIMA: Bars. During this episode, in which the children took turns to partition a bar into fourths and thirds recursively, the symbolic nature of their partitioning operations became apparent. The children developed their own drawings and numeral systems to further symbolize their symbolic mental operations. The symbolic nature of the children's partitioning operations was crucial in their establishment of more conventional mathematical symbols.

Entertaining mathematics presented by steam educational approach in teaching preschool and primary school age children

2021 ◽  
Vol 29 (1) ◽  
Author(s):  
Vanya Ivanova ◽  
◽  
◽  
Keyword(s):  
Primary School ◽  
Educational Technologies ◽  
School Age Children ◽  
Mathematical Activity ◽  
School Age ◽  
Motivation To Learn ◽  
Educational Approach ◽  
The Subject ◽  
Primary School Age ◽  
Interest And Motivation

The subject of this article is to clarify the connection between entertainment in Math lessons and educational STEAM technologies, which have the potential to motivate and stimulate the interest of preschool and primary school age in Math and their cognitive logical - mathematical activity. The article discusses the STEAM approach in its essence and teaching Maths using this method. The article also presents some educational technologies in fun Math, which allow children to discover for themselves through the methods of experimentation, exploration and experience, and this acquired independence leads children to an increased interest and motivation to learn.

Sometimes Less is More

2013 ◽  
pp. 12-36
Author(s):  
Karen Keene ◽  
Chris Rasmussen
Keyword(s):  
Differential Equations ◽  
Communities Of Practice ◽  
Mathematics Classroom ◽  
Tangent Vector ◽  
Classroom Community ◽  
Mathematical Community ◽  
Boundary Objects ◽  
Boundary Object ◽  
Mathematical Activity ◽  
First Semester

As described in the communities of practice literature (Lave & Wenger, 1991; Wenger, 1998), boundary objects are material things that interface two or more communities of practice. Extending this, Hoyles, Noss, Kent, and Bakker (2010) defined technology-enhanced boundary objects as, “software tools that adapt or extend symbolic artefacts identified from existing work practice, that are intended to act as boundary objects, for the purposes of employees’ learning and enhancing workplace communication” (p. 17). The authors adapt this idea to the undergraduate mathematics classroom and use the phrase “classroom technology-enhanced boundary object” to refer to a piece of software that acts as a boundary object between the classroom community and the mathematical community. They provide three extended examples of these objects as used in a first semester differential equations classroom to illustrate how students’ mathematical activity may advance as they interact with the software. These examples show how the applets operate to provide a way for the classroom community to implicitly encounter the mathematical community through the authentic practices of mathematics (Rasmussen, Zandieh, King, & Teppo, 2005). The first example centers on students beginning experience with a tangent vector field applet. The second example develops as the students learn more about solutions to differential equations and leads to a statement of the uniqueness theorem. In the third example, students use a specially designed applet that creates a numerical approximation and its associated image in 3-space relating to a non-technological visualization task that introduces solutions to systems of differential equations.

Sign in / Sign up

Export Citation Format

Share Document