The Effects Of Multiple Reference Framework And Different Forms Of Digital On Number Processing

Digit is the basic unit of mathematical language. Without digit, human knowledge on mathematics might not come into being. The research on digit processing is significant in probing into human mental essence and developing human intelligence.Finished research on digital cognition indicates that characteristics of digital process mostly depend on the content of tasks. Spatial information encoding based on varied reference framework affects digit processing a bit. These reference frameworks are centered on part of an observer's body (egocentric coding ), or on some non-bodily object (allocentric coding ). These reference frameworks can't separate from digital representation itself in the task of digit processing. For this, it is quite deficient, even a mistake to attribute the characteristics of digital cognition processing task to those of digital representation.In the task of digital comparison or digital Stroop, the set of two numbers which occur simultaneously or sequentially, their trends in number volume and letter type size probably result in a reference framework, then affect its performance. Digits occur in different places on the screen, which affects digit processing. The influence is described with Simon effect. Sequential digital occurrence may give rise to a reference framework, from left to right, from small to big, or from far to near, from small to big, which affects its performance, but no research is involved. In addition, in the experiment tested keys are set to response. The keys layout may also give rise to a reference framework. Although in a practical way A-B, B-A Pattern is adopted to balance. Whereas, when the range of transmitting efficiency varies from different order, the balance will be broken, and the reference framework efficiency, resulted from keys layout are concealed. For this reason, it is presumed that digit processing has its varied reference framework because of different nature of tasks. Some have several reference framework. When these reference frameworks coincide with egocentric one, responses are enhanced. When some framework coincide, others don't, responses can be predicted under the influence of varied reference framework.It shows that mental axis direction is closely related to cultural elements. From the standpoint of interculture, it helps us to get to know the characteristics of digit processing. As Chinese differs from the language system mentioned here, it's particularly significant to process controlled digits, taken Chinese as mother tongue. It is supposed that in the task of non-stimulating digital representation,all kinds of digit processing ( Arabic digits, plain Chinese digits, complex Chinese digits and English digits ) have no sharp distinctions. In the task of stimulating digital semantic representation ,the order in which four forms of digits response is Arabic digits, plain Chinese digits, complex Chinese digits and English digits, from the fastest to the least fast.To sum up, this research put forth a model of digital multi-encoding and multi- reference framework process .Additionally, the effects on digit processing range from stimulation presentation to finished responses to tests. Each step of the whole process may affect performance. Many researches on digit processing adopt the push-the-button-and-response method, without awareness of the influence of instant representation of keys symbol. Since the speed of digits stimulation is faster than that of letters. And the disturb of numeric representation of numeric key-press. It is presumed that in the task of non-stimulating digital semantic representation,digit keys reacts faster. In the task of stimulating digital semantic representation,letter keys react faster.Furthermore, in the digital Stroop task of digit volume and digital presentation size, it shows a coincidence reaction that big digit has big letter type, small digit has small letter. Based on the above-mentioned hypothesis of multiplied reference framework, the coincidence reaction has its defects. There are two cases for the coincidence between letter types and digit volume. Two digits presented sequentially are both in increasing or decreasing order. The non-coincidence has its own case.In order to test the model of digital multi-encoding process and multiplied reference framework, to explore above-mentioned issues, three tasks, digital Stroop, digital judgment between odd numbers and even numbers, digital volume comparison, are chosen. In these three tasks, digital stimulation procedure of volumes is increasingly enforced. Digit keys ( 1 and 3 on the small keyboard ), letter keys ( V and N) are used to test two different kinds of keys responses and phonetic responses are adopted. Controlled group includes graduates and postgraduates. After dozens of experiments, conclusions are made as follows:1. In the task of digital cognition process, the sequential occurrence order of two digit types, digit order, then layout of key responses give rise to reference framework in their own course, and even affect the performance of the tested. These reference framework has its direction. When it keeps accompany with the direction of egocentric reference framework, from left to right, from small to big, or from far to near, from small to big, it may enhance the response of the tested, Conversely,prohibit the response. When the directions of many reference framework do not coincide, it shows different reaction forces to different reference framework. Among them, the strongest power results from keys layout. The hypothesis of digital process and multiplied reference framework is to be proved.2. In the task of non-stimulating quantity representation ,digital reactions in any form has striking distinctions. In the task of stimulating quantity representation,the order of four forms of digital reactions, from the fastest to the least fast, is Arabic digits, plain Chinese digits, complex Chinese digits and English digits. ( The differences between complex Chinese digits and English digits are not striking in the task of judging odd and even numbers. The differences are striking in the task of quantity comparison. ) The multi-encoding hypothesis on digital process is proved.3. Instant representation of key symbols affects the task of digital process. In the digital non-stimulating task, the responses to digit keys are faster; while the responses to letter keys are faster.4. In the digital Stroop task, there are two cases for coincidence and non-coincidence between letter types. There exist reaction differences under four kinds of conditions. The coincidence between letter types and digits keep pace with egocentric reference framework, which enhances the fastest response. The coincidence between letter types and digits doesn't keep pace with egocentric reference framework, which doesn't enhance the response but prohibit the response.