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Jonathan K. Foster; Peter Youngs; Rachel van Aswegen; Samarth Singh; Ginger S. Watson; Scott T. Acton – Journal of Learning Analytics, 2024
Despite a tremendous increase in the use of video for conducting research in classrooms as well as preparing and evaluating teachers, there remain notable challenges to using classroom videos at scale, including time and financial costs. Recent advances in artificial intelligence could make the process of analyzing, scoring, and cataloguing videos…
Descriptors: Learning Analytics, Automation, Classification, Artificial Intelligence

Carraher, Terezinha Nunes; Schliemann, Analucia Dias – Journal for Research in Mathematics Education, 1985
Fifty Brazilian children aged seven-13 were individually given addition and subtraction exercises. Counting was the preferred procedure, with use of school-taught algorithms limited. Some children decomposed numbers into tens and units and then worked at both levels. They rarely referred to previous results when doing related exercises. (MNS)
Descriptors: Addition, Algorithms, Cognitive Processes, Educational Research

Gutstein, Eric; Romberg, Thomas A. – Journal of Mathematical Behavior, 1995
Reviews research using diagrams, number sentences, and algorithms to help students learn to add and subtract; poses questions on the relationship of instruction to children's knowledge construction; and proposes a research agenda in this area. (86 references) (MKR)
Descriptors: Addition, Algorithms, Arithmetic, Cognitive Processes

Kilian, Lawrence; And Others – Arithmetic Teacher, 1980
A study to determine if "random" or "careless" errors in multiplication made by individual students take on discernible patterns is described. Implications for teaching are discussed. (MK)
Descriptors: Algorithms, Educational Research, Elementary Education, Elementary School Mathematics
Resnick, Lauren B. – 1984
Research recurrently indicates that children who have difficulty with arithmetic often use systematic routines that yield wrong answers. Recent research has focused less on identifying the most common errors among groups of children and more on analyzing individual children's errors. This paper considers the source of systematic errors in…
Descriptors: Algorithms, Arithmetic, Cognitive Processes, Educational Research

Streefland, Leen – Educational Studies in Mathematics, 1982
A process of teaching fractions is detailed that respects pupil ideas and concept images and builds on these in a way that helps children to develop personal algorithms. This approach is an attempt to get away from perceived one-sided views found in most textbooks. (MP)
Descriptors: Algorithms, Educational Research, Elementary Education, Elementary School Mathematics

Wheatley, Grayson H.; McHugh, Daniel O. – Journal for Research in Mathematics Education, 1977
The authors attempt to determine the effects of the use of direct and "combinations of tens" methods of two column-addition, ability, and grade level as factors in column addition efficiency. (MN)
Descriptors: Addition, Algorithms, Computation, Educational Research

Carraher, Terezinha Nunes; And Others – Journal for Research in Mathematics Education, 1987
Sixteen Brazilian third graders aged 8-13 were given problems involving multidigit computation. School-taught algorithms were likely to be used in school-taught problems, with little carry-over to real problem situations, but resulted in more incorrect answers. (MNS)
Descriptors: Algorithms, Cognitive Processes, Computation, Educational Research

Anghileri, Julia – British Educational Research Journal, 2001
Explains that Year 5 students in ten British schools took a mathematics division test twice in the school year. The test involved context and bare problems to identify changes in approach as the standard algorithm was introduced. Reports that 52 percent of students gained a higher score on the second test. (CMK)
Descriptors: Algorithms, Educational Research, Elementary Education, Foreign Countries
Feghali, Issa – 1980
This study investigated the relationship between the level of conservation of displaced volume and the degree to which sixth graders learn the volume algorithm of a cuboid, i.e., volume = length x width x height (v = l x w x h). The problem is a consequence of an apparent discrepancy between the present school programs and the theory of Piaget…
Descriptors: Algorithms, Cognitive Development, Conservation (Concept), Educational Research
Suppes, Patrick; And Others – 1981
This report presents a theory of eye movement that accounts for main features of the stochastic behavior of eye-fixation durations and direction of movement of saccades in the process of solving arithmetic exercises of addition and subtraction. The best-fitting distribution of fixation durations with a relatively simple theoretical justification…
Descriptors: Addition, Algorithms, Cognitive Processes, Computation

Carrier, Carol; And Others – Journal for Research in Mathematics Education, 1985
Students from six fourth-grade classes were paired and randomly assigned to computer or worksheet treatments on multiplication and division. Those using computer-based drill-and-practice programs made greater gains on some tests of basic facts, but had no higher retention of algorithms. (MNS)
Descriptors: Algorithms, Computation, Computer Assisted Instruction, Division
Omanson, Susan F.; And Others – 1982
This study was designed to follow up earlier work on mapping instruction. The two main goals were to: (1) test the effectiveness of mapping instruction as a general cure for "buggy" subtraction algorithms, and (2) explore two alternative explanations of how this new form of instruction works. It was hypothesized that mapping cures bugs…
Descriptors: Algorithms, Basic Skills, Cognitive Processes, Computation
Secada, Walter G. – 1982
The use of counting for subtraction was investigated. Counting for subtraction is related to counting-on for addition and to four skills: the ability to use the subtrahend cardinality to gain entry into the count sequence, the ability to use the minuend cardinality to gain entry into the count sequence, the ability to use the count sequence to…
Descriptors: Algorithms, Basic Skills, Cognitive Processes, Computation
Lampert, Magdalene – 1985
The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…
Descriptors: Algorithms, Cognitive Processes, Computation, Educational Research