Abstract: The purposes of this research were to know: (1) which ofÂ learning model gives a better learning mathematics achievement, learning model of TPS, learning model of MAM or learning model of GNT on logarithm, (2) which has better learning mathematics achievement, students with cognitive style FD or FI cognitive style, (3) in each learning model (TPS, MAM, GNT), which cognitive style that give a better learning mathematics achievement, the cognitive style of FD or cognitive styles of FI. (4) in each cognitive style (field dependent (FD) and field independent (FI)), which of the learning model give a better learning mathematics result, learning model of TPS, MAM or GNT. This research was a quasi-experimental research with a 3 x 2 factorial design. The population in this research was senior high school students of grade X in Surakarta. The sample was taken by using the cluster random sampling technique. The study samples of this research were the students of SMA Muhammadiyah 1, SMA Muhammadiyah 2, and SMA Muhammadiyah 3. The instruments that was used to collect the data were cognitive test styles and the learning mathematics achievement test of logarithms. Testing of hypothesis usedÂ two-way analysis of variance with unbalanced cells using significance levelÂ a = 0.05. Based on hypothesis testing, it can be concluded that: (1) the learning achievement in mathematics on topic of discussion of logarithm resulting from the learning model of the TPS model Â is as good as that of the MAM modelÂ and that of the GNT model, (2) the students with the FI cognitive styles have a better learning achievement in mathematics on the topic of logarithm than those with the FD cognitive style, (3) in each of the learning models (TPS, MAM, GNT) the FI cognitive style results in Â a better learning achievement in mathematics on the topic of logarithm than the FD cognitive style, (4) in FD cognitif style, the learning models of TPS, learning models of MAM, learning models of GNT give the same learning achievement, whereas in FI cognitive style, the learning models of GNT gives a better learning mathematics achievement than learning models of MAM and learning models of TPS.Keywords: TPS, MAM, GNT, Cognitive Styles, Learning Mathematics achievement