Building Mathematical Proficiency

2021 ◽  
pp. 109-122
Author(s):  
Nicki Newton
2021 ◽  
Vol 7 (1) ◽  
pp. 5089-5103
Author(s):  
Joselita dos Santos Lima ◽  
Railda Brito de Aquino ◽  
Aline Rosario de Jesus Andrade ◽  
Laert Pereira da Silva Junior ◽  
Stânia Nágila Vasconcelos Carneiro

Author(s):  
Holly Pope ◽  
Charmaine Mangram

This study sought to determine if playing a digital math game could increase student number sense (mathematical proficiency in numeracy). We used a pre- and post-assessment to measure the number sense of two groups of third grade students with the same mathematics teacher. One group played the game Wuzzit Trouble and the other did not. Overall, the group who played Wuzzit Trouble showed a significant increase in number sense between the pre- and post-assessment, compared to the other group who did not. A qualitative analysis of a novel problem revealed differences between the treatment and comparison groups from pre- to post-. A discussion of these findings and features of the game are addressed. Namely, two features inherent in Wuzzit Trouble are associated with the learners’ increased number sense. First, Wuzzit Trouble promoted mathematical proficiency by requiring learners to attend to several mathematical constraints at once. Second, the game engaged learners in an iterative process of decision-making by calling for students to try, check, and revise their strategy as they played.


2021 ◽  
Vol 4 (2) ◽  
pp. 107-131
Author(s):  
Priscila Dias Corrêa ◽  

This study aims to investigate the mathematical proficiency promoted by mathematical modelling tasks that require students to get involved in the processes of developing mathematical models, instead of just using known or given models. The research methodology is grounded on design-based research, and the classroom design framework is supported by complexity science underpinnings. The research intervention consists of high-school students, from a grade 11 mathematics course, aiming to solve four different modelling tasks in four distinct moments. Data was collected during the intervention from students’ written mathematical work and audio and video recordings, and from recall interviews after the intervention. Data analysis was conducted based on a model of mathematical proficiency and assisted by interpretive diagrams created for this research purpose. This research study offers insight into mathematics teaching by portraying how mathematical modelling tasks can be integrated into mathematics classes to promote students’ mathematical proficiency. The study discusses observed expressions and behaviours in students’ development of mathematical proficiency and suggests a relationship between mathematical modelling processes and the promotion of mathematical proficiency. The study also reveals that students develop mathematical proficiency, even when they do not come to full resolutions of modelling tasks, which emphasizes the relevance of learning processes, and not only of the products of these processes.


2019 ◽  
Vol 8 (6) ◽  
pp. 90
Author(s):  
Putcharee Junpeng ◽  
Jenrop Krotha ◽  
Kanokphon Chanayota ◽  
KeowNgang Tang ◽  
Mark Wilson

This research aims to construct and validate progress maps of digital technology for diagnosing the multidimensional mathematical proficiency (MP) in Number and Algebra for Grade 7 students utilizing the Construct Modeling Approach. Researchers employed four building blocks as follows. Firstly, researchers developed the progress maps as an assessment framework of multidimensional MP. This is followed by creating the test for diagnosing MP. Next, researchers assigned scoring criteria and created the transition points of students’ MP levels. Finally, researchers validated the quality of the progress maps through empirical evidence. A total sample 1,500 Grade 7 students was used to support the validity and reliability evidence of the progress maps through the Wright Map using Multidimensional Random Coefficients Multinomial Logit Model. Results revealed that there were two dimensions of progress maps, namely mathematical procedures (MAP) and structure of learning outcome (SLO), and the researchers investigated three strands of validity evidence, namely test content, response processes, and internal structure. The reliability values in the MAP and SLO were 0.84 and 0.80 respectively. Finally, the Grade 7 students were mainly found to be at level-2 in the MAP dimension (44.95%) and the SLO dimension (61.57%). The experts’ evaluation results showed that the digital technology that was developed at the “most appropriate” quality levels in terms of usefulness, suitability, and accuracy, and at the “very appropriate” for the feasibility aspect, and hence is successfully contributing to the clarification of learning goals, to support for student-centered instruction, and that it is helpful in improving in teacher professional development.


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