Characteristics of teaching and learning single-digit whole number multiplication in china: the case of the nine-times table

ZDM ◽  
2019 ◽  
Vol 51 (1) ◽  
pp. 81-94
Author(s):  
Shu Zhang ◽  
Yiming Cao ◽  
Lidong Wang ◽  
Xinlian Li
1998 ◽  
Vol 59 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Ian Thompson

The influence of structural aspects of the English counting word system on the teaching and learning of place value In their discussion of the teaching of place value to young children Fuson and Briars (1990) describe the extent to which the English spoken system of number words constitutes a ‘named value’ system for large numbers. They argue that, because two-digit numbers are not ‘named value’, teachers should move from teaching single-digit calculations to teaching calculations with large numbers, only returning to two-digit numbers when children are familiar with the standard written algorithms. This article uses transcriptions of children calculating mentally to suggest that they appear to take advantage of the ‘partitionable’ aspect of the language associated with two-digit numbers - an aspect that Fuson and Briars (1990) appear to have ignored. These examples appear to raise questions about their recommendation that teachers should progress from single-digit to large number calculations.


1984 ◽  
Vol 31 (6) ◽  
pp. 10-12
Author(s):  
Dora Helen B. Skypek

The characteristics of rational numbers must be considered in a variety of interpretations and coding schemes. It is this variety that, if not sorted and carefully developed in appropriate contexts, results in confusion in teaching and learning about rational numbers. Although a discussion of interpretations necessarily involves the use of coding conventions, the two will be treated separately as special characteristics of the rational numbers. Another important charac-teristic. which is difficult to separate from interpretations and coding conventions. is this: unlike a whole number (or an integer), a rational number has an unlimited number of “behavioral clones.” These clones have different names, but they behave in exactly the same way. Still other Still other characteristics to be considered are the density and order of the rational number.


2013 ◽  
Vol 3 (2) ◽  
pp. 19 ◽  
Author(s):  
Cally Kuhne

This paper reports on the development of a Learning Pathway for Number (LPN) with the aim of facilitating the teaching and learning of whole number in the early primary grades (Grades R – 4) within the South African educational context. The development of the LPN was based on the Dutch Learning/Teaching Trajectory for Whole Number (Van den Heuvel-Panhuizen, 2001). This paper describes a case study that presents the development of the LPN with three teacher groups (teachers from a school improvement project, teachers from high-performing schools and pre-service student teachers). The LPN is a conceptual framework based on five learning/teaching principles, namely the context, level, activity, interaction and the guidance principles. The benefit of this pedagogic tool adapted and refined for the South African context is that it provides a longitudinal view, highlighting milestones in the learning of number with the aim of deepening learners’ conceptual understanding of number over time. This case study reveals the importance of a devise that enables teachers to reflect on their mathematics content and pedagogy and bridges the theory-practice divide. It also highlights the critical issue of language and the use of appropriate terminology and activities in the classroom.


1990 ◽  
Vol 38 (3) ◽  
pp. 18-22
Author(s):  
Paul R. Trafton ◽  
Judith S. Zawojewski

“Carlos finally understands subtraction! He got nine of the ten exercises correct, and every one of them involved renaming.” Statements like this confuse students' computational proficiency with their understanding of an operation. Ironically, this student's understanding of the operation of subtraction may be very shallow. We often give too little attention to building and assessing concepts of operations, yet this is one of three important components of teaching and learning about number that are included in the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989). The first of the three components is the standard on number sense and numeration. Concepts of operations (see table 1) is the second and builds on number sense. The third of the three number standards, whole-number computation, must build on the other two areas. A deep understanding of the concepts associated with an operation results from careful attention to many important real-world and mathematical ideas and relationships.


2009 ◽  
Vol 12 (1) ◽  
pp. 16-23
Author(s):  
Lizbeth Curme Stevens

Abstract The intent of this article is to share my research endeavors in order to raise awareness of issues relative to what and how we teach as a means to spark interest in applying the scholarship of teaching and learning to what we do as faculty in communication sciences and disorders (CSD). My own interest in teaching and learning emerged rather abruptly after I introduced academic service-learning (AS-L) into one of my graduate courses (Stevens, 2002). To better prepare students to enter our profession, I have provided them with unique learning opportunities working with various community partners including both speech-language pathologists (SLPs) and teachers who supported persons with severe communication disorders.


2008 ◽  
Vol 11 (2) ◽  
pp. 61-66
Author(s):  
Jennifer C. Friberg

Abstract The use of podcasting is incredibly widespread, with experts estimating that 60 million Americans will be using podcasting in some form by 2010. The use of podcasting has grown beyond entertainment to become an educational tool, showing promise as a way to disseminate information and create networks of professional learners. However, despite the growing clinical and educational uses of podcasting in other professional disciplines, podcasting is being used primarily as a continuing education tool for speech-language pathologists and audiologists at this time. This article provides guidelines and examines the potential applications for use of podcasting in teaching and learning in communication sciences and disorders.


JAMA ◽  
1965 ◽  
Vol 194 (11) ◽  
pp. 1225-1225
Author(s):  
S. E. Ross

Sign in / Sign up

Export Citation Format

Share Document