[PDF] Top 20 Investigating mathematics and learning to teach mathematics

... The learning objectives involve two dimensions (Christiansen and Walther, 1986) that are always there, explicitly or ...the mathematics contents, leading the teacher to explain a concept, ... See full document

... environment, and how they might implement problem-solving in their future classroom; both participants became aware of their problem solving and what actions improved or hindered their own problem solving ... See full document

... restricted to those of famous ...of mathematics (Pazwash & Mavrigian, ...lead to the integration of history of mathematics into ...“how mathematics can be used as an analytical ... See full document

... Arts, Mathematics and Heritage) project in Portugal, which began in 2013 and is coordinated by the first author of this paper (Costa & Domingos, ...centre and elementary schools, the ... See full document

... teachers and school boards, are already searching for solutions to the learning and teaching problems of their students who do not have Portuguese as their native ...where mathematics ... See full document

... hint to introduce the fuzzy sets theory in order to achieve a mathematical representation of the process of learning in the ...generalization and categorization respectively and by a, ... See full document

... distance learning that is common in most e-learning systems rests on a set of learning devices and environments that may be outdated from the student’s perspective, namely because it is not ... See full document

... recurrent and insuperable difficulty of comprehension in learning mathematics and the main impediment to solving problems for most ...working and thinking in ...factors to ... See full document

... of learning environment might not give the same layout or interface of the content as the ...Black and Hawkes [8] where they had stated that the different output or layout of the content might be differed ... See full document

... aim to explore and expose pupils’ reasons for liking or disliking mathematics using different methods of data collection and ...liking and disliking were to a great extent ... See full document

... teaching and learning of deaf students in mathematics, as well as the inclusion of these in heterogeneous ...is to identify the difficulties in teaching and learning by both ... See full document

... it to the private ...States and with many millions of dollars spent, the consensus is to teach calculus graphically, numerically, and ...hard to persuade publishers to ... See full document

... point to numerous benefits of mobile education for both learners and education systems nationally and ...able to break free of the ...experience and provides opportunity for ... See full document

... compared to other group then quasi-experimental method is suitable for this ...conditions and students and teachers communicated together in both ... See full document

... of learning can effectively be enhanced when students are involved in the learning activities as scientists are involved in research activities ...made to introduce computational modelling in ... See full document

... sociocultural learning theory and the Cultural psychology together with the results of Vithal & Skovsmose‘s (1990) theory on Critical Mathematics ...that learning is always ‗situated ... See full document

... students and promoting learning about rational numbers in a pleasant classroom climate (Menezes & Ferreira, 2018; Menezes & Alves, ...the mathematics teachers of Portugal and Spain? Do ... See full document

... limited to the presentation of text, images and simulations, or to a supporting role in data acquisition and ...remains to be ...practical and laboratory work, what is the best ... See full document

... of Learning Objects is grounded in the object-oriented paradigm of computer science ...of Learning Objects is the creation of instructional components that can be reused numerous times in different ... See full document

... proposed and the work methodology adopted in this learning scenario allowed for dialogue to enhance the fundamental characteristics to the critical learning of ...students and ... See full document