Rapid mental computation system as a tool for algorithmic thinking of elementary school students development

In this paper, we describe the possibilities of using a rapid mental computation system in elementary education. The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly. These operations are actually simple algorithms which can develop or improve the algorithmic thinking of pupils. Using a rapid mental computation system allows forming the basis for the study of computer science in secondary school

PUZZLES – A CREATIVE WAY OF DEVELOPMENT OF LOGICAL THINKING

Logical thinking of students should be enhanced at all levels of their studies. There are many possibilities how to achieve it. In the paper one possible way within the subjects “Discrete Mathematics” and “Discrete Methods and Optimization” dealing with graph theory and combinatorial optimization will be presented. These mathematical disciplines are powerful tools for teachers allowing them to develop logical thinking of students, increase their imagination and make them familiar with solutions to various problems. Thanks the knowledge gained within the subjects students should be able to describe various practical situations with the aid of graphs, solve the given problem expressed by the graph, and translate the solution back into the initial situation. Student engagement is crucial for successful education. Practical tasks and puzzles attract students to know more about the explained subject matter and to apply gained knowledge. There are an endless number of enjoyable tasks, puzzles and logic problems in books like “Mathematics is Fun”, in riddles magazines and on the Internet. In the paper, as an inspiration, four puzzles developing logical thinking appropriate to be solved using graph theory and combinatorial optimization will be introduced. On these puzzles of different level of difficulty the students’ ability to find out the appropriate graph-representation of the given task and solve it will be discussed as well. The author of the paper has been prepared with her students various multimedia applications dealing with objects appropriate to subject matter for more than 15 years. In the paper we also discuss a benefit of multimedia applications used as a support of subjects “Discrete Mathematics” and “Discrete Methods and Optimization”

GIS w polskiej edukacji wyższej – dyskusja

Norvay Grants FSS/2014/HEI/W/0114/U/001

Contests Hosting Service as a tool to teach programming

Computer science would not exist without the concept of algorithm. Therefore design of algorithms plays an important role in education while implementation is usually considered to be straightforward. Increasing variety of programming languages, wealth of possible constructions, programming environments and tools makes programming difficult for the beginners.Apart from the idea of problem solution, it is important to teach programming skills. Size of classes of 10-20 pupils and a limited number of lessons and their short time are the major problem. The teacher has to check solution of every pupil, compile it and run tests. This is definitely a time-consuming process which makes teaching difficult. In this paper the authors present the use of problem solutions validation systems during classes. With the help of such a system called Zawody WEB, the authors teach algorithms and programming for the secondary school students

Introducing Computational Thinking in K-12 Education: Historical, Epistemological, Pedagogical, Cognitive, and Affective Aspects

Introduction of scientific and cultural aspects of Computer Science (CS) (called "Computational Thinking" - CT) in K-12 education is fundamental. We focus on three crucial areas. 1. Historical, philosophical, and pedagogical aspects. What are the big ideas of CS we must teach? What are the historical and pedagogical contexts in which CT emerged, and why are relevant? What is the relationship between learning theories (e.g., constructivism) and teaching approaches (e.g., plugged and unplugged)? 2. Cognitive aspects. What is the sentiment of generalist teachers not trained to teach CS? What misconceptions do they hold about concepts like CT and "coding"? 3. Affective and motivational aspects. What is the impact of personal beliefs about intelligence (mindset) and about CS ability? What the role of teaching approaches? This research has been conducted both through historical and philosophical argumentation, and through quantitative and qualitative studies (both on nationwide samples and small significant ones), in particular through the lens of (often exaggerated) claims about transfer from CS to other skills. Four important claims are substantiated. 1. CS should be introduced in K-12 as a tool to understand and act in our digital world, and to use the power of computation for meaningful learning. CT is the conceptual sediment of that learning. We designed a curriculum proposal in this direction. 2. The expressions CT (useful to distantiate from digital literacy) and "coding" can cause misconceptions among teachers, who focus mainly on transfer to general thinking skills. Both disciplinary and pedagogical teacher training is hence needed. 3. Some plugged and unplugged teaching tools have intrinsic constructivist characteristics that can facilitate CS learning, as shown with proposed activities. 4. Growth mindset is not automatically fostered by CS, while not studying CS can foster fixed beliefs. Growth mindset can be fostered by creative computing, leveraging on its constructivist aspects

An adaptable and personalised e-learning system applied to computer science programmes design

With the rapid advances in E-learning systems, personalisation and adaptability have now become important features in the education technology. In this paper, we describe the development of an architecture for A Personalised and Adaptable E-Learning System (APELS) that attempts to contribute to advancements in this field. APELS aims to provide a personalised and adaptable learning environment to users from the freely available resources on the Web. An ontology was employed to model a specific learning subject and to extract the relevant learning resources from the Web based on a learner's model (the learners background, needs and learning styles). The APELS system uses natural language processing techniques to evaluate the content extracted from relevant resources against a set of learning outcomes as defined by standard curricula to enable the appropriate learning of the subject. An application in the computer science field is used to illustrate the working mechanisms of the APELS system and its evaluation based on the ACM/IEEE computing curriculum. An experimental evaluation was conducted with domain experts to evaluate whether APELS can produce the right learning material that suits the learning needs of a learner. The results show that the produced content by APELS is of a good quality and satisfies the learning outcomes for teaching purposes

Teaching methods are erroneous: approaches which lead to erroneous end-user computing

If spreadsheets are not erroneous then who, or what, is? Research has found that end-users are. If end-users are erroneous then why are they? Research has found that responsibility lies with human beings' fast and slow thinking modes and the inappropriate way they use them. If we are aware of this peculiarity of human thinking, then why do we not teach students how to train their brains? This is the main problem, this is the weakest link in the process: teaching. We have to make teachers realize that end-users are erroneous because of the erroneous teaching approaches to end-user computing. The proportion of fast and slow thinking modes is not constant, and teachers are mistaken when they apply the same proportion in both the teaching and end-user roles. Teachers should believe in the incremental nature of science and have high self-efficacy to make students understand and appreciate science. This is not currently the case in ICT and CS, and it is high time fundamental changes were introduced.Comment: 14 pages, 7 figures & table

Exploring the Characteristics of Digital Pedagogy Model for Developing Computational Thinking in Mathematical Problem Solving

Challenges in the 21st century are increasingly complex, technology is developing rapidly and competition is getting tougher. Therefore we need quality human resources that can keep up with and anticipate the times. The use of technology involves computational thinking (CT) skills which are closely related to the problem-solving process. The stages in computational thinking are part of mathematical thinking, meaning that learning mathematics can support students' CT skills. Through the development of digital pedagogical models in CT integrated mathematics learning, it can improve problem-solving skills. This research uses  design based implementation research with 4 phases including; preliminary research, prototyping, results, and design principle. The participants were 28 grade 8 junior high school students who took part in two rounds of experiment in direct CT activities and digital CT activities. In this paper, we present an iterative mathematical problem-solving process in the digital pedagogy model. The computational task, environment, tool and practices were iteratively improved over two rounds to incorporate CT effectively in mathematics. The results from CT environment demonstrated that direct CT activities are more effective than digital CT activities in mathematical problem-solving.  Based on empirical research, we summarize the characteristic of the digital pedagogy model from computational tasks, computational environment and tools, and computational practices in mathematical problem solving

A Framework for Teaching Computational Thinking in Primary Schools: A Namibian Case Study

Several professional development programs have been designed to train in-service teachers on a computational thinking (CT) curriculum, but few researchers have examined how these affect primary school teachers\u27 self-efficacy and knowledge of CT in emerging economies. This study\u27s objective was to create a framework for the professional development of primary school in-service teachers for the teaching of CT (referred to as professional development for primary computational thinking - PD4PCT) to be integrated into teachers\u27 professional development programs. An initial framework was refined after implementing it at a Namibian school with a group of 14 teachers from five different disciplines (social studies, English, natural science, mathematics, and Afrikaans). Literature reviews, pre- and post-intervention questionnaires, semi-structured interviews, and self-reporting diaries were used to collect data. The framework was evaluated by experts via an online questionnaire. The findings show that teachers who participated in the professional development program improved their perceived CT knowledge, beliefs, and confidence to teach CT