Integrating Computational Thinking and Mathematics

2022 ◽  
pp. 175-196
Author(s):  
Marja Bertrand ◽  
Immaculate Kizito Namukasa

Globally, computational thinking and coding in schools has become more popular as well as a growing area of interest in education reform. Coupling coding with creative thinking promises to meaningfully engage students in their learning and to improve their coding and computational thinking skills. This prompts discussions about STEAM (Science, Technology, Engineering, Arts, and Mathematics), which promotes creativity and innovation through the integration of the arts in STEM subjects. This study addresses the following question: What mathematics and computational thinking do students learn through different models of STEAM education in non-profit and in-school contexts? A small sample was taken of four different STEAM programs in Ontario, Canada. We carried out a qualitative case study with 103 participants, 19 adults and 84 students. The findings from this study have implications for designing, implementing and researching K-8 STEAM programs that promote coding and computational thinking skills in the context of learning mathematics.

Author(s):  
Marja Bertrand ◽  
Immaculate Kizito Namukasa

Globally, computational thinking and coding in schools has become more popular as well as a growing area of interest in education reform. Coupling coding with creative thinking promises to meaningfully engage students in their learning and to improve their coding and computational thinking skills. This prompts discussions about STEAM (Science, Technology, Engineering, Arts, and Mathematics), which promotes creativity and innovation through the integration of the arts in STEM subjects. This study addresses the following question: What mathematics and computational thinking do students learn through different models of STEAM education in non-profit and in-school contexts? A small sample was taken of four different STEAM programs in Ontario, Canada. We carried out a qualitative case study with 103 participants, 19 adults and 84 students. The findings from this study have implications for designing, implementing and researching K-8 STEAM programs that promote coding and computational thinking skills in the context of learning mathematics.


Author(s):  
Serhat Altiok ◽  
Erman Yükseltürk

In our age, computational thinking that involves understanding human behavior and designing systems for solving problems is important as much as reading, writing and arithmetic for everyone. Computer programming is one of the ways that could be promote the process of developing computational thinking, in addition to developing higher-order thinking skills such as problem solving, critical and creative thinking skills etc. However, instead of focusing on problems and sub-problems, algorithms, or the most effective and efficient solution, focusing on programming language specific needs and problems affects the computational thinking process negatively. Many educators use different tools and pedagogical approaches to overcome these difficulties such as, individual work, collaborative work and visual programming tools etc. In this study, researchers analyze four visual programming tools (Scratch, Small Basic, Alice, App Inventor) for students in K-12 level and three methodologies (Project-based learning, Problem-based learning and Design-based learning) while teaching programming in K-12 level. In summary, this chapter presents general description of visual programming tools and pedagogical approaches, examples of how each tool can be used in programming education in accordance with the CT process and the probable benefits of these tools and approaches to explore the practices of computational thinking.


2022 ◽  
pp. 648-676
Author(s):  
Serhat Altiok ◽  
Erman Yükseltürk

In our age, computational thinking that involves understanding human behavior and designing systems for solving problems is important as much as reading, writing and arithmetic for everyone. Computer programming is one of the ways that could be promote the process of developing computational thinking, in addition to developing higher-order thinking skills such as problem solving, critical and creative thinking skills etc. However, instead of focusing on problems and sub-problems, algorithms, or the most effective and efficient solution, focusing on programming language specific needs and problems affects the computational thinking process negatively. Many educators use different tools and pedagogical approaches to overcome these difficulties such as, individual work, collaborative work and visual programming tools etc. In this study, researchers analyze four visual programming tools (Scratch, Small Basic, Alice, App Inventor) for students in K-12 level and three methodologies (Project-based learning, Problem-based learning and Design-based learning) while teaching programming in K-12 level. In summary, this chapter presents general description of visual programming tools and pedagogical approaches, examples of how each tool can be used in programming education in accordance with the CT process and the probable benefits of these tools and approaches to explore the practices of computational thinking.


Author(s):  
Amanda L. Strawhacker ◽  
Amanda A. Sullivan

In the past two decades, STEM education has been slowly replaced by “STEAM,” which refers to learning that integrates science, technology, engineering, arts, and mathematics. The added “Arts” portion of this pedagogical approach, although an important step towards integrated 21st century learning, has long confused policymakers, with definitions ranging from visual arts to humanities to art education and more. The authors take the position that Arts can be broadly interpreted to mean any approach that brings interpretive and expressive perspectives to STEM activities. In this chapter, they present illustrative cases inspired by work in real learning settings that showcase how STEAM concepts and computational thinking skills can support children's engagement in cultural, performing, and fine arts, including painting, sculpture, architecture, poetry, music, dance, and drama.


Author(s):  
Barbara Ann Temple

Engaging with subject matter in isolation stymies creativity, promotes rote learning, and limits development of divergent thinking skills. Conversely, a transdisciplinary approach to math develops critical and creative thinking skills, strengthens problem solving capacity, and promotes metacognition. In this pilot study, the design-based research process began with sharing initial intervention ideas for elementary Math lessons with participants at an international elementary Math conference. Utilizing participant feedback as part of the iterative process, three specific interventions for second-grade Math concepts were designed with intentional infusion of Science and the Arts. The ultimate goal for this research is the design of an effective elementary Math curriculum offering authentic, real-world learning through a transdisciplinary approach.


Author(s):  
Thiago Schumacher Barcelos ◽  
Ismar Frango Silveira

On the one hand, ensuring that students archive adequate levels of Mathematical knowledge by the time they finish basic education is a challenge for the educational systems in several countries. On the other hand, the pervasiveness of computer-based devices in everyday situations poses a fundamental question about Computer Science being part of those known as basic sciences. The development of Computer Science (CS) is historically related to Mathematics; however, CS is said to have singular reasoning mechanics for problem solving, whose applications go beyond the frontiers of Computing itself. These problem-solving skills have been defined as Computational Thinking skills. In this chapter, the possible relationships between Math and Computational Thinking skills are discussed in the perspective of national curriculum guidelines for Mathematics of Brazil, Chile, and United States. Three skills that can be jointly developed by both areas are identified in a literature review. Some challenges and implications for educational research and practice are also discussed.


2019 ◽  
Vol 9 (3) ◽  
pp. 184 ◽  
Author(s):  
Meng-Leong How ◽  
Wei Loong David Hung

In science, technology, engineering, arts, and mathematics (STEAM) education, artificial intelligence (AI) analytics are useful as educational scaffolds to educe (draw out) the students’ AI-Thinking skills in the form of AI-assisted human-centric reasoning for the development of knowledge and competencies. This paper demonstrates how STEAM learners, rather than computer scientists, can use AI to predictively simulate how concrete mixture inputs might affect the output of compressive strength under different conditions (e.g., lack of water and/or cement, or different concrete compressive strengths required for art creations). To help STEAM learners envision how AI can assist them in human-centric reasoning, two AI-based approaches will be illustrated: first, a Naïve Bayes approach for supervised machine-learning of the dataset, which assumes no direct relations between the mixture components; and second, a semi-supervised Bayesian approach to machine-learn the same dataset for possible relations between the mixture components. These AI-based approaches enable controlled experiments to be conducted in-silico, where selected parameters could be held constant, while others could be changed to simulate hypothetical “what-if” scenarios. In applying AI to think discursively, AI-Thinking can be educed from the STEAM learners, thereby improving their AI literacy, which in turn enables them to ask better questions to solve problems.


2021 ◽  
pp. 146394912110514
Author(s):  
Sofie Areljung ◽  
Anna Günther-Hanssen

STEAM (science, technology, engineering, arts and mathematics) education is currently gaining ground in many parts of the world, particularly in higher stages of the educational system. Foreseeing a development of STEAM policy and research also in the early years, this colloquium seeks to bring questions of gendering processes to the table. The authors aspire to prevent the development of a gender-blind STEAM discourse for early childhood education. Instead, they encourage practitioners and researchers to make use of STEAM education to recognise and transcend gendered norms connected to children’s being and learning in the arts, STEM and STEAM.


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