scholarly journals Concept Mapping to Measure Mathematical Experts’ Number Sense

2020 ◽  
Vol 10 (3) ◽  
pp. 6-26
Author(s):  
Vasileios Christos Georgiadis ◽  
Konstantinos Christou

The purpose of this study is to test whether concept mapping can be used for measuring the levels of number sense and use it to measure the mathematical experts’ level of number sense. The sample included 39 undergraduate and post-graduate students of Departments of Mathematics in Greece. A pencil and paper test was administered to test the level of number sense in different mathematical domains. Additionally, the participants were asked to create a concept map with  as the central term. The results showed low levels of number sense with the majority of the participants responded in the number sense test by applying rules and algorithms rather than more holistic approaches that would indicate higher levels of number sense. Additionally, participants’ performance in concept mapping was strongly related to their performance in the number sense test. Specifically, participants with low number sense scores tended to present poor concept maps.

2012 ◽  
Vol 3 (6) ◽  
pp. 1-3
Author(s):  
K.Shireesha K.Shireesha ◽  
◽  
M. Srikala M. Srikala

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Antonios Bakolis ◽  
Dimitrios Stamovlasis ◽  
Georgios Tsaparlis

Abstract A crucial step in problem solving is the retrieval of already learned schemata from long-term memory, a process which may be facilitated by categorization of the problem. The way knowledge is organized affects its availability, and, at the same time, it constitutes the important difference between experts and novices. The present study employed concept maps in a novel way, as a categorization tool for chemical equilibrium problems. The objective was to determine whether providing specific practice in problem categorization improves student achievement in problem solving and in conceptual understanding. Two groups of eleventh-grade students from two special private seminars in Corfu island, Greece, were used: the treatment group (N = 19) and the control group (N = 21). Results showed that the categorization helped students to improve their achievement, but the improvement was not always statistically significant. Students at lower (Piagetian) developmental level (in our sample, students at the transitional stage) had a larger improvement, which was statistically significant with a high effect size. Finally, Nakhleh’s categorization scheme, distinguishing algorithmic versus conceptual subproblems in the solution process, was studied. Dependency of problem solving on an organized knowledge base and the significance of concept mapping on student achievement were the conclusion.


2021 ◽  
Vol 13 (7) ◽  
pp. 3860
Author(s):  
Anna Rita Corvino ◽  
Pasquale Manco ◽  
Elpidio Maria Garzillo ◽  
Maria Grazia Lourdes Monaco ◽  
Alessandro Greco ◽  
...  

Background: In this study, we promote a global approach to occupational risk perception in order to improve occupational health and safety training programs. The study investigates the occupational risk perception of operating room healthcare workers using an Analytic Hierarchy Process approach. Methods: A pilot study was carried out through a cross-sectional survey in a university hospital in Southern Italy. An ad hoc questionnaire was administered to enrolled medical post-graduate students working in the operating room. Results: Fifty medical specialists from seven fields (anaesthetists, digestive system surgeons, general surgeons, maxillofacial surgeons, thoracic surgeons, urologists, and gynaecologists) were questioned about perceived occupational risk by themselves. Biological, ionizing radiation, and chemical risks were the most commonly perceived in order of priority (w = 0.300, 0.219, 0.210). Concerning the biological risk, gynaecologists unexpected perceived this risk as less critical (w = 0.2820) than anaesthesiologists (w = 0.3354), which have the lowest perception of the risk of ionizing radiation (w = 0.1657). Conclusions: Prioritization methods could improve risk perception in healthcare settings and help detect training needs and perform sustainable training programs.


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