This study examined the problem-solving strategies and systematic errors of (n=82) preservice elementary school teachers related to place value concepts and decimal representations of rational numbers. Problems were posed in the unfamiliar domain of numeration systems with bases other than base ten. (Contains 13 references.) (MKR)

Compared use of derived fact strategies involving addition and subtraction by 20 learning-disabled students (LDSs) from an intermediate level self-contained class to 22 grade-3 normally achieving students (NASs). LDSs did not differ from NASs in verbal fluency or use of alternative strategies. (Contains 20 references.) (MDH)

Describes how a mathematics teacher's knowledge level can be supported or justified by a criterion different from test scores of teacher's students, namely the ability of the teacher to justify teaching practices by appealing to concurrent learning method. Two examples are provided that formalize theoretical justifications as practical arguments…

Provides ethnographic information about preservice teachers and their formative relationships to diagnostic teaching and letter writing within the school mathematics curriculum. Also, indicates that elementary school students benefit from letter writing as it relates to mathematics attitudes and achievement levels. (nine references) (JJK)

Presents a study that indicates that second grade students (n=117) do select manipulatives that match the story context in measurement and partition division word problems, that they can solve division word problems, especially when matched manipulatives are used, and that division without remainders are more accessible to solution. (39…