Doug Williams presented the opening address at Conference 2012 on the theme of "Enigmas". Here he continues storytelling about the learning and teaching of mathematics at its best. The descriptions are of real classrooms with real teachers, and real learners. As with many good stories this is the narrative of a journey. A journey that…

Counting and dividing activities for 5- and 6-year-old children, using base ten multibase arithmetic blocks, are described. (DT)

Lists of materials for a mathematics laboratory and some suggestions for activities are given. (DT)

This report describes a program for increasing adolescent visualization and understanding of geometry problems. The targeted population consisted of high school students in two geometry classes in a growing middle-class community. The inability of students to adequately visualize and understand geometry problems was documented through teacher-made…

A series of activities involving comparing weights of objects directly, using non-standard units, using standard units, using simple scales, and using complex scales are described. (SD)

Directions are given for activities designed to help children realize that linear measurement is continuous, that it involves the repeated use of a unit in the same way each time, and that measurement is approximate. Non-standard units as well as standard units are included. (DT)

Activities involving graphing are described. Beginning with arranging objects in linear arrays, the authors outline a sequence of activities leading up to graphing of grouped data, and circular graphs. (SD)

The author illustrates a method for the construction of the eight deltahedra, using cardboard and rubber bands. (MN)

Materials for sorting, counting, and number activities are listed, with sources. This is the third of a series in a revision of a materials list given in issue No. 40; earlier lists in the revision appeared in issues No. 58 and 59. (DT)

Specific mathematics lab activities involving fractions and measurement at the seventh grade level are described. (DT)

Measuring activities using the metric system are suggested for the elementary level. (DT)