Misconceptions about density of decimals : insights from Indonesian pre-service teachers’ work

Extensive studies have documented various difficulties with, and misconceptions about, decimal numeration across different levels of education. This paper reports on pre-service teachers’ misconceptions about the density of decimals. Written test data from 140 Indonesian pre-service teachers, observation of group and classroom discussions provided evidence of pre-service teachers’ difficulties in grasping the density notion of decimals. This research was situated in a teacher education university in Yogyakarta, Indonesia. Incorrect analogies resulting from over generalization of knowledge about whole numbers and fractions were identified. Teaching ideas to resolve these difficulties and challenges in resolving pre-service teachers’ misconceptions are discussed. Evidence from this research indicates that it is possible to remove misconceptions about density of decimals

Incomplete or incorrect understanding of decimals: An important deficit for student nurses

In this study more than 40% of the 355 student nurses who completed a pre-test, involving comparisons of decimal numbers, made errors that indicate an incomplete or incorrect conceptual understanding. This includes students who are sometimes able to achieve 100% on drug calculations tests. Seven test items with error rates of between 10% and 26% form the focus of our discussion. A sub-group of the students attended a one-hour remedial intervention using various physical materials to give conceptual meaning to decimal numbers. A matched post-test three months after the intervention, detected a statistically significant improvement for the intervention students but not for those who only practiced drug calculation procedures. Conceptual teaching for number sense is needed to underpin procedures.E

Changes with age in students’ misconceptions of decimal numbers

Deposited with permission of the author. © 2004 Dr. Vicki SteinleThis thesis reports on a longitudinal study of students’ understanding of decimal notation. Over 3000 students, from a volunteer sample of 12 schools in Victoria, Australia, completed nearly 10000 tests over a 4-year period. The number of tests completed by individual students varied from 1 to 7 and the average inter-test time was 8 months. The diagnostic test used in this study, (Decimal Comparison Test), was created by extending and refining tests in the literature to identify students with one of 12 misconceptions about decimal notation. (For complete abstract open document

Misconceptions about density of decimals: insights from pre-service teachers’ work

This is a pre-print of a paper from Konferensi Nasional Metematika XIV 2008 published by Indonesian Mathematical Society (IndoMS). http://knm14.wordpress.com/Extensive studies have documented various difficulties with, and misconceptions about, decimal numeration across different levels of education. This paper reports on pre-service teachers’ misconceptions about the density of decimals. Written test data from 140 pre-service teachers, observation of group and classroom discussions provided evidence of pre-service teachers’ difficulties in grasping the density notion of decimals. Incorrect analogies resulting from over generalization of knowledge about whole numbers and fractions were identified. Teaching ideas to resolve these difficulties are discussed. Evidence from this research indicates that it is possible to remove misconceptions about density of decimals

Understanding decimal numbers : a foundation for correct calculations

This paper reports on the effectiveness of an intervention designed to improve nursing students’ conceptual understanding of decimal numbers. Results of recent intervention studies have indicated some success at improving nursing students’ numeracy through practice in applying procedural rules for calculation and working in real or simulated practical contexts. However, in this we identified a fundamental problem: a significant minority of students had an inadequate understanding of decimal numbers. The intervention aimed to improve nursing students’ basic understanding of the size of decimal numbers, so that, firstly, calculation rules are more meaningful, and secondly, students can interpret decimal numbers (whether digital output or results of calculations) sensibly. A well-researched, time-efficient diagnostic instrument was used to identify individuals with an inadequate understanding of decimal numbers. We describe a remedial intervention that resulted in significant improvement on a delayed post-intervention test. We conclude that nurse educators should consider diagnosing and, as necessary, plan for remediation of students’ foundational understanding of decimal numbers before teaching procedural rules

Decimal numbers and safe interpretation of clinical pathology results

Objective To determine the understanding of decimal numbers by medical laboratory scientists, doctors and nurses

Preservice Teachers' Knowledge of Difficulties in Decimal Numeration

In this study we investigated preservice elementary school teachers' content knowledge and pedagogical content knowledge of decimal numeration. The preservice teachers completed a decimal comparison test, marked items they thought would be difficult for students, and explained why. Only about 80 percent of the sample tested as experts, indicating that a significant proportion of preservice teachers have inadequate content knowledge of decimals. Confusion about the size of decimals in relation to zero was a significant and unexpected difficulty, leading to concerns about the fragmentary nature of the preservice teachers' knowledge. Most preservice teachers were aware of longer-is-larger misconceptions in students, but had little awareness of shorter-is-larger misconceptions. Preservice teachers' explanations for the reasons students might have difficulty demonstrated that many are good at identifying features that make comparisons difficult but less able to explain why these cause trouble. Results point to the need for teacher education to emphasise content knowledge that integrates different aspects of number knowledge, and pedagogical content knowledge that includes a thorough understanding of common difficulties