Search results for "Mathematics instruction"
showing 10 items of 30 documents
The role of language on the reversal error. A study with bilingual Basque-Spanish students
2019
The reversal error is a prevalent phenomenon that consists of reversing the relationship between two variables when writing equations from comparison in verbal language. A study with 169 Basque/Spa...
Aspects of “Anschauung” in the Work of Felix Klein
2018
Aimed at modernizing the teaching of mathematics at German secondary schools around 1900, The “Kleinian Reform Movement” was characterized by Felix Klein’s two key demands: “strengthening spatial intuition” and “training the habit of functional reasoning”. This paper presents a number of examples demonstrating the importance of the concept of intuition (Anschauung) for Klein and explains the role he assigned to intuition in mathematics instruction at school and university.
Mathematics education and learning disabilities in Spain.
2004
In the first part of this article, we describe the basic objectives of the math curriculum in Spain as well as the basic contents, teacher resources, and obstacles perceived in mathematics instruction. Second, we briefly describe the concept of learning disabilities (LD) as they are currently defined in Spain. As stated in the recent educational reform, a student with LD is any student with special educational needs. The emphasis is placed on the educational resources that these students need in order to achieve the curricular objectives that correspond to their age group or grade. Third, we comment specifically on the educational services model and the evaluation and instructional procedu…
Mathematics textbooks, opportunity to learn and student achievement
2005
Abstract Opportunity to learn is considered an important contributing factor in learning outcomes. In some of the latest international comparative studies of mathematics achievement, such as SIMS and TIMSS, painstaking efforts have been made to find out what the participating students' opportunities to learn mathematics had been. However, there have been problems with relating the findings to student outcomes. This article approaches opportunity to learn in three different ways. Among these approaches, an item-based analysis of textbook contents resulted in fairly high correlations with student performance at the item level in TIMSS 1999. This implies that even a quite simple analysis of te…
Predictors of mothers' and fathers' teaching of reading and mathematics during kindergarten and Grade 1
2010
Abstract The aim of the present longitudinal study was to investigate factors contributing to mothers' and fathers' teaching of reading and mathematics to their children during kindergarten and Grade 1. It was assumed that mothers' and fathers' teaching during kindergarten would be influenced by their socioeconomic status and their own learning difficulties, whereas during Grade 1 by their children's academic performance. A total of 189 mothers and 165 fathers filled in questionnaires regarding their teaching of reading and mathematics twice, once in kindergarten and once in Grade 1. Children's reading and mathematics performance was also examined twice, once in kindergarten and once in Gra…
A pilot study of the effects of RightStart instruction on early numeracy skills of children with specific language impairment
2013
This pilot study investigated the effects of an early numeracy program, RightStart Mathematics (RS), on Finnish kindergartners with specific language impairment (SLI). The study applied a pre-test-instruction-post-test design. The children with SLI (n=9, Mage=82.11 months) received RS instruction two to three times a week for 40 min over seven months, which replaced their business-as-usual mathematics instruction. Mathematical skill development among children with SLI was examined at the individual and group levels, and compared to the performance of normal language-achieving age peers (n=32, Mage=74.16 months) who received business-as-usual kindergarten mathematics instruction. The childre…
Do Dogs Know Related Rates Rather than Optimization?
2006
(2006). Do Dogs Know Related Rates Rather than Optimization? The College Mathematics Journal: Vol. 37, No. 1, pp. 16-19.
Engaging with mathematics in the kindergarten. Orchestrating a fairy tale through questioning and use of tools
2013
ABSTRACTThe aim of this study is to analyse how a kindergarten teacher orchestrated a mathematical activity involving a fairy tale. Taking a sociocultural perspective on learning and development, naturally occurring talk-in-interaction has been analysed in order to scrutinise the subtleties of the orchestration. The fairy tale Goldilocks and the Three Bears was used both as context for the activity, but also as a means through which mathematical concepts were engaged with. The analysis shows that the orchestration bears characteristics of questioning and use of tools such as voice, facial expressions, and concrete materials. The orchestration is also characterised by sincere planning in adv…
Connecting Research to Teaching: Guidelines for Teaching Plane Isometries in Secondary School
1995
Two key concepts strongly supported by the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989) are (1) that geometry should be taught from multiple perspectives and (2) that it is necessary to make mathematical connections. Both concepts can be implemented by appropriately selecting topics that can be presented to students from several points of view in different environments and that can also link different branches of mathematics or mathematics and other sciences.
Exploring Students’ Metacognitive Knowledge: The Case of Integral Calculus
2020
Previous studies of integral calculus have mainly explored students&rsquo