7/18/2019 Kieren

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Kieren, T.E. (1992). Rational and fractional numbers as mathematical and personal knowlede. !n ". #einhardt, R.

$utnam, and R.%. &attrup (Eds.), Analysis of arithmetic for mathematics teaching  (pp. '2''2). *ahwah, +-

#awrence Erlbaum %ssociates.

Kieren, T.E. (199'). Rational and fractional numbers- rom /uotient fields to recursi0e understandin. !n T. arpenter, E.

ennema, and T.%. Romber (Eds.), Rational numbers: An integration of research (pp. 93). *ahwah, +- #awrenceErlbaum %ssociates.

Kieren, T.E. (199). *ultiple 0iews of multiplicati0e structure. !n ". &arel and . onfre4 (Eds.),The development of

multiplicative reasoning in the learning of mathematics (pp. '3'9). %lban4, +5- 6tate 7ni0ersit4 of +ew 5ork

$ress.

Kieren, T.E. (1998). reatin spaces for learnin fractions. !n .T. 6owder and .$. 6chappelle (Eds.), Providing a

 foundation for teaching mathematics in the middle grades. %lban4, +5- 6tate 7ni0ersit4 of +ew 5ork $ress