the pupils possess and to design more effective instructional methods for increasing that knowledge. TABLE OF CONTENTSIntroductionInstructing Auxiliary School Pupils in Visual Geometry, P. G. TishiniVisual.and Verbal Means in Pregaratory Exercises in Teaching Arithmetic Problem Solving, N. F. Kuimina-SyromyatnikovaSome Features of Elementary Arithmetic Instruction for Auxiliary School Pupils, T. V. Khanutina Volume XI - Analysis and Synthesis as Problem Solving MethodsKantowski, Mary Grace, Ed.; And Others1975 | 186 paginas | pdfonline: ERICThis volume differs from the others in the series in that the entire volume records the search for a method of problem-solving instruction based on the analytic-synthetic nature of the problem-solving process. In this work, Kalmykova traces the history of the use of the analytic and synthetic methods in her country, explores elementary classroom situations involving teachers who had various degrees of success in problem-solving instruction, makes hypotheses regarding the use of certain techniques, and concludes with suggestions for "productive" methods to be used in the classroomTABLE OF CONTENTSIntroduction, Mary C. KantowskiChapter I. OverviewChapter II. Substantiation of the Problem of Analysis end SynthesisChapter III. Experimental Investigations of the Use of the Method of Analysis in School Chapter IV. Experimental Investigations of Analysis as a Method of Searching for a SolutionChapter V. Productive Method of Analysis and SynthesisVolume XII - Problems of InstructionWilson, James W., Ed.; And Others1975 | 185 paginas | pdfonline: ERICThe seven studies found in this volume are: ;; ;;; ; and Psychological Characteristics of Pupils' Assimilation of the Concept of a Function.TABLE OF CONTENTSIntroductionAn Experiment in the Psychological Analysis of Algebraic Errors, P. A. ShevarevPupils' Comprehension of Geometric Proofs, F. N. GonoboldnElements of the Historical Approach in Teaching Mathematics, I. N. ShevchenkoOvercoming Students' Errors in the Independent Solution of Arithmetic Problems, 0. T. YochkovskayaStimulating Student Activity in the Study of Functional Relationships, Yu. I. GoldbergPsychological Grounds for Extensive Use of Unsolvable Problems, Ya. I. GrudenovPsychological Characteristics of Pupils' Assimilation of the Concept of a Function, I. A. MarnyanskiiVolume XIII - Analysis of Reasoning ProcessesWilson, James W., Ed.; And Others1975 | 244 paginas | pdfonline: ERICThe analysis of reasoning processes in the learning of concepts or the solving of problems is the theme common to the ten articles in this volume. These articles, except for the first one by Ushakova, were published between 1960 and 1967 and were part of the available literature during a revision of the Soviet school mathematics curriculum. The articles are interesting because of the topics they treat and because of the research styles they illustrateTABLE OF CONTENTSIntroduction, James Wilson and Jeremy KilpatrickThe Role of Comparison in-the Formation of Concepts do by Third-Grade Pupils, M. N. UshakovaOn the Formation of an Elementary Concept of Number by the Child, V. V. DavydovThe Generalized Conception in Problem Solving, A. V. BrushlinskiiAn Analysis of the Process of Solving Simple Arithmetic Problem, G. P. Shchedrovitskii and S. G. Yak'obson An Attempt at an Experimental Investigation of Psychological Regularity in Learning, B. B. KopovThe Formation of Generalized Operations as a Method for Preparing Pupils to Solve Geometry Problems Independently, E. I. MashbitsAn Experimental Investigation of Problem Solving and Modeling the