If you want to charge a fixed, flat amount for shipping between min/max order total ranges, you would select Shipping Method: Flat and then enter the Shipping Amount you want to charge, then set the Min and Max Item Total (pre-tax pre-shipping order total) thresholds for that rate. When you click Submit to save a Rule, you will see it added to the Existing Shipping Rules menu in the upper portion of that screen. Then you would set up additional Rules for other flat rates with other min/max thresholds.
Our system will apply Shipping Rules to each order based on whether it meets the conditions you define for each Rule. E.g., if you create a Rule with thresholds for Min. and Max. Item Total (pre-shipping, pre-tax order total), then that Rule would only be applied to orders within those thresholds. If an order satisfies more than one Rule, then the buyer would be shown a choice of shipping costs (one for each Rule that qualifies) to pick from in their cart.