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## From Dienes ’ Blocks to JavaBars: A Personal Odyssey in the use of artifacts, materials and tools for learning and teaching mathematics.

### Citations

17 |
Information technology and mathematics: Opening new representational windows
- Kaput
- 1986
(Show Context)
Citation Context ...ch connections between their physical activities with theswooden blocks and the decimal notation. The virtual blocks provided students with thesadvantage of multiple, linked representational systems (=-=Kaput, 1986-=-).sThere have been many computer versions of the MAB produced since PatsThompson’s BLOCKS microworld. My favorites are the Java applets available through thesNational Library of Virtual Manipulatives ... |

17 |
A new hypothesis concerning children’s fractional knowledge
- Steffe
- 2002
(Show Context)
Citation Context ... ansiterative fraction scheme that was more powerful for students’ understanding of thesesoperations on fractions than the traditional “parts-out-of-whole” concept of a fraction (Olive,s1999; Olive & =-=Steffe, 2002-=-; Steffe, 2002). Results of this research project have been reportedsat annual meetings of PME, an affiliate group of ICMI (Olive, 2001, 2002b, 2003).sA free,sdownloadable version of TIMA: Bars, calle... |

10 | The power of mathematics - Dienes - 1964 |

10 |
The construction of an iterative fractional scheme: The case of Joe
- Olive, Steffe
- 2002
(Show Context)
Citation Context ...ction of ansiterative fraction scheme that was more powerful for students’ understanding of thesesoperations on fractions than the traditional “parts-out-of-whole” concept of a fraction (Olive,s1999; =-=Olive & Steffe, 2002-=-; Steffe, 2002). Results of this research project have been reportedsat annual meetings of PME, an affiliate group of ICMI (Olive, 2001, 2002b, 2003).sA free,sdownloadable version of TIMA: Bars, calle... |

9 | From fractions to rational numbers of arithmetic: A reorganization hypothesis - Olive - 1999 |

6 |
Javabars: Computer tools for interactive mathematical activity in the elementary school. The
- Olive
- 2000
(Show Context)
Citation Context ... asresearch project on children’s construction of fractions (Steffe & Olive, 1990) through whichswe developed a set of virtual manipulatives called TIMA (Tools for Interactive MathematicalsActivity) (=-=Olive, 2000-=-; 2002a). The children in our research project were able to constructscomplex operations involving multiplication and division of fractions using the TIMA thatswere different from the symbolic operati... |

4 | Building Up Mathematics (4th edition - Dienes - 1960 |

4 |
Design and use of computer tools for interactive mathematical activity (TIMA
- Steffe, Olive
- 2002
(Show Context)
Citation Context ...different from the symbolic operations they had learned through their classroomsinstruction (Steffe & Olive, 1996). Activities using the TIMA: Sticks and TIMA: Barssmicroworlds (Olive & Steffe, 1994; =-=Steffe & Olive, 2002-=-) promoted the construction of ansiterative fraction scheme that was more powerful for students’ understanding of thesesoperations on fractions than the traditional “parts-out-of-whole” concept of a f... |

3 | Nathan’s strategies for simplifying and adding fractions in third grade - Olive - 2003 |

3 |
Children's construction of the rational numbers of arithmetic
- Steffe, Olive
- 1990
(Show Context)
Citation Context ...world designed to support the construction of somesmathematical knowledge.” (p. 355). As part of this Topic Group, I presented results from asresearch project on children’s construction of fractions (=-=Steffe & Olive, 1990-=-) through whichswe developed a set of virtual manipulatives called TIMA (Tools for Interactive MathematicalsActivity) (Olive, 2000; 2002a). The children in our research project were able to constructs... |

2 |
Connecting partitioning and iterating: A path to improper fractions
- Olive
- 2001
(Show Context)
Citation Context ...parts-out-of-whole” concept of a fraction (Olive,s1999; Olive & Steffe, 2002; Steffe, 2002). Results of this research project have been reportedsat annual meetings of PME, an affiliate group of ICMI (=-=Olive, 2001-=-, 2002b, 2003).sA free,sdownloadable version of TIMA: Bars, called JavaBars is now available from my webpage,salong with a user manual and example activities (Olive, 2007). The JavaBars software issbe... |

2 | The construction of commensurate fractions - Olive - 2002 |

2 |
Symbolizing as a constructive activity in a computer microworld
- Steffe, Olive
- 1996
(Show Context)
Citation Context ...o constructscomplex operations involving multiplication and division of fractions using the TIMA thatswere different from the symbolic operations they had learned through their classroomsinstruction (=-=Steffe & Olive, 1996-=-). Activities using the TIMA: Sticks and TIMA: Barssmicroworlds (Olive & Steffe, 1994; Steffe & Olive, 2002) promoted the construction of ansiterative fraction scheme that was more powerful for studen... |

1 | Topic Group 19: Computer-based interactive learning - Balacheff, Sánchez - 1996 |

1 | National Library of Virtual Manipulatives. Web page: http://nlvm.usu.edu/en/nav/index.html - NVLM - 2007 |

1 |
The teaching of logic to young children. Unpublished graduate thesis
- Olive
- 1968
(Show Context)
Citation Context ...mes -- practice games” that weresdesigned to help young children form insights about the logical relations among blocks basedson the properties of set union, intersection and complement. My research (=-=Olive, 1968-=-)sindicated that these young children had most difficulty (at first) with games of logicalsdisjunction (e.g. form the set of blocks that are either red or triangular – they chose only thesred triangle... |

1 |
Serendipity [Television program
- Olive
- 1977
(Show Context)
Citation Context ...nts) would end up in the “castle” (where the upper track ended) and which would end upsin the railway yard (where the lower track ended). My students made a pilot for a children’sstelevision program (=-=Olive, 1977-=-) that featured this tracks activity using thick masking tape onsthe floor for the tracks and the children themselves as the pieces.sThe children moved alongsthe tracks according to the labeled attrib... |

1 | Bridging the gap: Interactive computer tools to build fractional schemes from children's whole-number knowledge - Olive |

1 |
JavaBars [Computer Software]. Retrieved from http://math.coe.uga.edu/olive/welcome.html
- Olive
- 2007
(Show Context)
Citation Context ..., an affiliate group of ICMI (Olive, 2001, 2002b, 2003).sA free,sdownloadable version of TIMA: Bars, called JavaBars is now available from my webpage,salong with a user manual and example activities (=-=Olive, 2007-=-). The JavaBars software issbeing used in classrooms around the world and I have had requests for creating Chinese andsTurkish versions of the software. It is used extensively in our pre-service teach... |

1 |
TIMA: Bars [Computer software
- Olive, Steffe
- 1994
(Show Context)
Citation Context ...ng the TIMA thatswere different from the symbolic operations they had learned through their classroomsinstruction (Steffe & Olive, 1996). Activities using the TIMA: Sticks and TIMA: Barssmicroworlds (=-=Olive & Steffe, 1994-=-; Steffe & Olive, 2002) promoted the construction of ansiterative fraction scheme that was more powerful for students’ understanding of thesesoperations on fractions than the traditional “parts-out-of... |

1 | Rocky’s Boots [Computer program]. San Francisco: The Learning Company - Robinett, Grimm - 1982 |

1 |
An introduction to the Dienes mathematics programme
- Seaborne
- 1975
(Show Context)
Citation Context ...s’ Logic Blocks are just one of the many structured sets of materials thatsDienes and his associates produced as artifacts for his mathematics program. (For a verysconcise overview of the program see =-=Seaborne, 1975-=-.)sThe logic blocks were used in Dienes’sprogram for much more than the logical relations I have outlined in my own study. Theyswere used for patterning activities, order relations, difference relatio... |

1 | Zoombinis Logical Journey. Retrieved from http://www.terc.edu/work/645.html - TERC - 2007 |